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Simplifying (x + -8)(x + -9) = 0 Reorder the terms: (-8 + x)(x + -9) = 0 Reorder the terms: (-8 + x)(-9 + x) = 0 Multiply (-8 + x) * (-9 + x) (-8(-9 + x) + x(-9 + x)) = 0 ((-9 * -8 + x * -8) + x(-9 + x)) = 0 ((72 + -8x) + x(-9 + x)) = 0 (72 + -8x + (-9 * x + x * x)) = 0 (72 + -8x + (-9x + x2)) = 0 Combine like terms: -8x + -9x = -17x (72 + -17x + x2) = 0 Solving 72 + -17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = {8, 9}
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