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Simplifying 2x2 + -8 = 31x + -2x2 Reorder the terms: -8 + 2x2 = 31x + -2x2 Solving -8 + 2x2 = 31x + -2x2 Solving for variable 'x'. Reorder the terms: -8 + -31x + 2x2 + 2x2 = 31x + -2x2 + -31x + 2x2 Combine like terms: 2x2 + 2x2 = 4x2 -8 + -31x + 4x2 = 31x + -2x2 + -31x + 2x2 Reorder the terms: -8 + -31x + 4x2 = 31x + -31x + -2x2 + 2x2 Combine like terms: 31x + -31x = 0 -8 + -31x + 4x2 = 0 + -2x2 + 2x2 -8 + -31x + 4x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -8 + -31x + 4x2 = 0 Factor a trinomial. (-1 + -4x)(8 + -1x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
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 = 8Solution
x = {-0.25, 8}
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