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Simplifying 18 + -1x = x2 + 4x + 4 Reorder the terms: 18 + -1x = 4 + 4x + x2 Solving 18 + -1x = 4 + 4x + x2 Solving for variable 'x'. Reorder the terms: 18 + -4 + -1x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 18 + -4 = 14 14 + -1x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: -1x + -4x = -5x 14 + -5x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Reorder the terms: 14 + -5x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 14 + -5x + -1x2 = 0 + 4x + -4x + x2 + -1x2 14 + -5x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 14 + -5x + -1x2 = 0 + x2 + -1x2 14 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 14 + -5x + -1x2 = 0 Factor a trinomial. (2 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {2, -7}
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