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Simplifying (x + 20)(x + -9) = 0 Reorder the terms: (20 + x)(x + -9) = 0 Reorder the terms: (20 + x)(-9 + x) = 0 Multiply (20 + x) * (-9 + x) (20(-9 + x) + x(-9 + x)) = 0 ((-9 * 20 + x * 20) + x(-9 + x)) = 0 ((-180 + 20x) + x(-9 + x)) = 0 (-180 + 20x + (-9 * x + x * x)) = 0 (-180 + 20x + (-9x + x2)) = 0 Combine like terms: 20x + -9x = 11x (-180 + 11x + x2) = 0 Solving -180 + 11x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-20, 9}
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