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Simplifying 3x2 = -2x + 8 Reorder the terms: 3x2 = 8 + -2x Solving 3x2 = 8 + -2x Solving for variable 'x'. Reorder the terms: -8 + 2x + 3x2 = 8 + -2x + -8 + 2x Reorder the terms: -8 + 2x + 3x2 = 8 + -8 + -2x + 2x Combine like terms: 8 + -8 = 0 -8 + 2x + 3x2 = 0 + -2x + 2x -8 + 2x + 3x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 2x + 3x2 = 0 Factor a trinomial. (-2 + -1x)(4 + -3x) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-2, 1.333333333}
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