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Simplifying (8 + -1x)(x + 9) = 0 Reorder the terms: (8 + -1x)(9 + x) = 0 Multiply (8 + -1x) * (9 + x) (8(9 + x) + -1x * (9 + x)) = 0 ((9 * 8 + x * 8) + -1x * (9 + x)) = 0 ((72 + 8x) + -1x * (9 + x)) = 0 (72 + 8x + (9 * -1x + x * -1x)) = 0 (72 + 8x + (-9x + -1x2)) = 0 Combine like terms: 8x + -9x = -1x (72 + -1x + -1x2) = 0 Solving 72 + -1x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(9 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {8, -9}
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