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Simplifying -2 = x2 + -8x + 14 Reorder the terms: -2 = 14 + -8x + x2 Solving -2 = 14 + -8x + x2 Solving for variable 'x'. Combine like terms: -2 + -14 = -16 -16 + 8x + -1x2 = 14 + -8x + x2 + -14 + 8x + -1x2 Reorder the terms: -16 + 8x + -1x2 = 14 + -14 + -8x + 8x + x2 + -1x2 Combine like terms: 14 + -14 = 0 -16 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2 -16 + 8x + -1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 -16 + 8x + -1x2 = 0 + x2 + -1x2 -16 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 8x + -1x2 = 0 Factor a trinomial. (-4 + x)(4 + -1x) = 0Subproblem 1
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 = 4Subproblem 2
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 = 4Solution
x = {4, 4}
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