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Simplifying 2x2 + 5x + -8 = x2 + 4x + 4 Reorder the terms: -8 + 5x + 2x2 = x2 + 4x + 4 Reorder the terms: -8 + 5x + 2x2 = 4 + 4x + x2 Solving -8 + 5x + 2x2 = 4 + 4x + x2 Solving for variable 'x'. Reorder the terms: -8 + -4 + 5x + -4x + 2x2 + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: -8 + -4 = -12 -12 + 5x + -4x + 2x2 + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 5x + -4x = 1x -12 + 1x + 2x2 + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -12 + 1x + 1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Reorder the terms: -12 + 1x + 1x2 = 4 + -4 + 4x + -4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -12 + 1x + 1x2 = 0 + 4x + -4x + x2 + -1x2 -12 + 1x + 1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -12 + 1x + 1x2 = 0 + x2 + -1x2 -12 + 1x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1x + 1x2 = 0 Factor a trinomial. (-4 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-4, 3}
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