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Simplifying 20 + 2x = x2 + -4x + 4 Reorder the terms: 20 + 2x = 4 + -4x + x2 Solving 20 + 2x = 4 + -4x + x2 Solving for variable 'x'. Reorder the terms: 20 + -4 + 2x + 4x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2 Combine like terms: 20 + -4 = 16 16 + 2x + 4x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2 Combine like terms: 2x + 4x = 6x 16 + 6x + -1x2 = 4 + -4x + x2 + -4 + 4x + -1x2 Reorder the terms: 16 + 6x + -1x2 = 4 + -4 + -4x + 4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 16 + 6x + -1x2 = 0 + -4x + 4x + x2 + -1x2 16 + 6x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 16 + 6x + -1x2 = 0 + x2 + -1x2 16 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 6x + -1x2 = 0 Factor a trinomial. (8 + -1x)(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {8, -2}
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