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Simplifying 0 = -3x2 + 2x + 8 Reorder the terms: 0 = 8 + 2x + -3x2 Solving 0 = 8 + 2x + -3x2 Solving for variable 'x'. Combine like terms: 0 + -8 = -8 -8 + -2x + 3x2 = 8 + 2x + -3x2 + -8 + -2x + 3x2 Reorder the terms: -8 + -2x + 3x2 = 8 + -8 + 2x + -2x + -3x2 + 3x2 Combine like terms: 8 + -8 = 0 -8 + -2x + 3x2 = 0 + 2x + -2x + -3x2 + 3x2 -8 + -2x + 3x2 = 2x + -2x + -3x2 + 3x2 Combine like terms: 2x + -2x = 0 -8 + -2x + 3x2 = 0 + -3x2 + 3x2 -8 + -2x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -8 + -2x + 3x2 = 0 Factor a trinomial. (-4 + -3x)(2 + -1x) = 0Subproblem 1
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 = -1.333333333Subproblem 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 = {-1.333333333, 2}
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