Are x = 10 and x = -20 Solutions to (x-10)(x+20)?
“(x-10)(x+20) solutions”
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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- 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.
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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.
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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 ...