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Simplifying 2x2 + -5 = 3x2 + 11 + -10x Reorder the terms: -5 + 2x2 = 3x2 + 11 + -10x Reorder the terms: -5 + 2x2 = 11 + -10x + 3x2 Solving -5 + 2x2 = 11 + -10x + 3x2 Solving for variable 'x'. Reorder the terms: -5 + -11 + 10x + 2x2 + -3x2 = 11 + -10x + 3x2 + -11 + 10x + -3x2 Combine like terms: -5 + -11 = -16 -16 + 10x + 2x2 + -3x2 = 11 + -10x + 3x2 + -11 + 10x + -3x2 Combine like terms: 2x2 + -3x2 = -1x2 -16 + 10x + -1x2 = 11 + -10x + 3x2 + -11 + 10x + -3x2 Reorder the terms: -16 + 10x + -1x2 = 11 + -11 + -10x + 10x + 3x2 + -3x2 Combine like terms: 11 + -11 = 0 -16 + 10x + -1x2 = 0 + -10x + 10x + 3x2 + -3x2 -16 + 10x + -1x2 = -10x + 10x + 3x2 + -3x2 Combine like terms: -10x + 10x = 0 -16 + 10x + -1x2 = 0 + 3x2 + -3x2 -16 + 10x + -1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -16 + 10x + -1x2 = 0 Factor a trinomial. (-8 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 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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