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Simplifying x2 + 4x + 4 = 2x2 + 2x + -20 Reorder the terms: 4 + 4x + x2 = 2x2 + 2x + -20 Reorder the terms: 4 + 4x + x2 = -20 + 2x + 2x2 Solving 4 + 4x + x2 = -20 + 2x + 2x2 Solving for variable 'x'. Reorder the terms: 4 + 20 + 4x + -2x + x2 + -2x2 = -20 + 2x + 2x2 + 20 + -2x + -2x2 Combine like terms: 4 + 20 = 24 24 + 4x + -2x + x2 + -2x2 = -20 + 2x + 2x2 + 20 + -2x + -2x2 Combine like terms: 4x + -2x = 2x 24 + 2x + x2 + -2x2 = -20 + 2x + 2x2 + 20 + -2x + -2x2 Combine like terms: x2 + -2x2 = -1x2 24 + 2x + -1x2 = -20 + 2x + 2x2 + 20 + -2x + -2x2 Reorder the terms: 24 + 2x + -1x2 = -20 + 20 + 2x + -2x + 2x2 + -2x2 Combine like terms: -20 + 20 = 0 24 + 2x + -1x2 = 0 + 2x + -2x + 2x2 + -2x2 24 + 2x + -1x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 24 + 2x + -1x2 = 0 + 2x2 + -2x2 24 + 2x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 24 + 2x + -1x2 = 0 Factor a trinomial. (6 + -1x)(4 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {6, -4}
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