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Simplifying x2 + 2 = 26 + -10x Reorder the terms: 2 + x2 = 26 + -10x Solving 2 + x2 = 26 + -10x Solving for variable 'x'. Reorder the terms: 2 + -26 + 10x + x2 = 26 + -10x + -26 + 10x Combine like terms: 2 + -26 = -24 -24 + 10x + x2 = 26 + -10x + -26 + 10x Reorder the terms: -24 + 10x + x2 = 26 + -26 + -10x + 10x Combine like terms: 26 + -26 = 0 -24 + 10x + x2 = 0 + -10x + 10x -24 + 10x + x2 = -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 10x + x2 = 0 Factor a trinomial. (-12 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
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 = 2Solution
x = {-12, 2}
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