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Simplifying 5x(x + -1) + -2(2x2 + -7x) = -8 Reorder the terms: 5x(-1 + x) + -2(2x2 + -7x) = -8 (-1 * 5x + x * 5x) + -2(2x2 + -7x) = -8 (-5x + 5x2) + -2(2x2 + -7x) = -8 Reorder the terms: -5x + 5x2 + -2(-7x + 2x2) = -8 -5x + 5x2 + (-7x * -2 + 2x2 * -2) = -8 -5x + 5x2 + (14x + -4x2) = -8 Reorder the terms: -5x + 14x + 5x2 + -4x2 = -8 Combine like terms: -5x + 14x = 9x 9x + 5x2 + -4x2 = -8 Combine like terms: 5x2 + -4x2 = 1x2 9x + 1x2 = -8 Solving 9x + 1x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + 9x + 1x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 9x + 1x2 = 0 Factor a trinomial. (8 + x)(1 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-8, -1}
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