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Simplifying (x + -9)(x + -20) = 0 Reorder the terms: (-9 + x)(x + -20) = 0 Reorder the terms: (-9 + x)(-20 + x) = 0 Multiply (-9 + x) * (-20 + x) (-9(-20 + x) + x(-20 + x)) = 0 ((-20 * -9 + x * -9) + x(-20 + x)) = 0 ((180 + -9x) + x(-20 + x)) = 0 (180 + -9x + (-20 * x + x * x)) = 0 (180 + -9x + (-20x + x2)) = 0 Combine like terms: -9x + -20x = -29x (180 + -29x + x2) = 0 Solving 180 + -29x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(20 + -1x) = 0Subproblem 1
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 = 9Subproblem 2
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 = 20Solution
x = {9, 20}
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