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Are x = 10 and x = -20 Solutions to (x-10)(x+20)?

“(x-10)(x+20) solutions”
x = 10 or -20
Confidence: High Checked on May 28, 2026

Summary

Solving the factored equation (x‑10)(x+20)=0 requires each factor to equal zero. Setting x‑10=0 gives x=10, and setting x+20=0 gives x=‑20. Thus the two solutions are x = 10 and x = ‑20.

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Sources 60 searched

math.vanderbilt.edu
  • The most common errors in undergraduate mathematics

    That's because, at the end of your computational procedure, you'll have not only the solution(s) to the original problem, but possibly also some additional numbers that do not solve the original problem. How do you check for them? Just plug each of your answers into the original problem, to see whether it works. Many students, unfortuntely, omit that last step. ... x2+4x+4. By adding and subtracting appropriate amounts to both sides of the equation (a reversible step), we obtain · x2+2x–8 = 0.

tutorial.math.lamar.edu
  • Common Math Errors

    We missed the \(x = 0\) in the first attempt because we tried to make our life easier by “simplifying” the equation before solving. While some simplification is a good and necessary thing, you should NEVER divide out a term as we did in the first attempt when solving.

mathportal.org
geteasysolution.com
  • (X-10)(x-20)=0 - solution

    If it's not what You are looking for type in the equation solver your own equation and let us solve it. Simplifying (X + -10)(x + -20) = 0 Reorder the terms: (-10 + X)(x + -20) = 0 Reorder the terms: (-10 + X)(-20 + x) = 0 Multiply (-10 + X) * (-20 + x) (-10(-20 + x) + X(-20 + x)) = 0 ((-20 * -10 + x * -10) + X(-20 + x)) = 0 ((200 + -10x) + X(-20 + x)) = 0 (200 + -10x + (-20 * X + x * X)) = 0 (200 + -10x + (-20X + xX)) = 0 Reorder the terms: (200 + -20X + -10x + xX) = 0 (200 + -20X + -10x + xX) = 0 Solving 200 + -20X + -10x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right.

wolframalpha.com
freemathhelp.com
  • Equation Solver | Free Math Help

    Free equation solver with step-by-step solutions. Solve linear, quadratic, and other equations in one variable and see the work shown.

calculatorsoup.com
softmath.com
  • solve form - Equations and Inequalities

    The value x = 10 was incorrect because of a sign error. We must be especially careful to write the correct sign for each number when solving equations. EXAMPLE 5 Find the value of x that satisfies the equation 1/5+x = −1/10+1/2 · To combine the fractions, the fractions must have common ...

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