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Simplifying 2x2 + 6x + -10 = x2 + 6 Reorder the terms: -10 + 6x + 2x2 = x2 + 6 Reorder the terms: -10 + 6x + 2x2 = 6 + x2 Solving -10 + 6x + 2x2 = 6 + x2 Solving for variable 'x'. Reorder the terms: -10 + -6 + 6x + 2x2 + -1x2 = 6 + x2 + -6 + -1x2 Combine like terms: -10 + -6 = -16 -16 + 6x + 2x2 + -1x2 = 6 + x2 + -6 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -16 + 6x + 1x2 = 6 + x2 + -6 + -1x2 Reorder the terms: -16 + 6x + 1x2 = 6 + -6 + x2 + -1x2 Combine like terms: 6 + -6 = 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 + -1x) = 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 + -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 = {-8, 2}
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