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Simplifying (x + -2)(x + 1) = 70 Reorder the terms: (-2 + x)(x + 1) = 70 Reorder the terms: (-2 + x)(1 + x) = 70 Multiply (-2 + x) * (1 + x) (-2(1 + x) + x(1 + x)) = 70 ((1 * -2 + x * -2) + x(1 + x)) = 70 ((-2 + -2x) + x(1 + x)) = 70 (-2 + -2x + (1 * x + x * x)) = 70 (-2 + -2x + (1x + x2)) = 70 Combine like terms: -2x + 1x = -1x (-2 + -1x + x2) = 70 Solving -2 + -1x + x2 = 70 Solving for variable 'x'. Reorder the terms: -2 + -70 + -1x + x2 = 70 + -70 Combine like terms: -2 + -70 = -72 -72 + -1x + x2 = 70 + -70 Combine like terms: 70 + -70 = 0 -72 + -1x + x2 = 0 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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