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Simplifying 3x2 + 3x = 8 + -2x2 Reorder the terms: 3x + 3x2 = 8 + -2x2 Solving 3x + 3x2 = 8 + -2x2 Solving for variable 'x'. Reorder the terms: -8 + 3x + 3x2 + 2x2 = 8 + -2x2 + -8 + 2x2 Combine like terms: 3x2 + 2x2 = 5x2 -8 + 3x + 5x2 = 8 + -2x2 + -8 + 2x2 Reorder the terms: -8 + 3x + 5x2 = 8 + -8 + -2x2 + 2x2 Combine like terms: 8 + -8 = 0 -8 + 3x + 5x2 = 0 + -2x2 + 2x2 -8 + 3x + 5x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -8 + 3x + 5x2 = 0 Factor a trinomial. (-8 + -5x)(1 + -1x) = 0Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 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 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-1.6, 1}
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