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Simplifying 8x2 + 8x = 3 + -2x Reorder the terms: 8x + 8x2 = 3 + -2x Solving 8x + 8x2 = 3 + -2x Solving for variable 'x'. Reorder the terms: -3 + 8x + 2x + 8x2 = 3 + -2x + -3 + 2x Combine like terms: 8x + 2x = 10x -3 + 10x + 8x2 = 3 + -2x + -3 + 2x Reorder the terms: -3 + 10x + 8x2 = 3 + -3 + -2x + 2x Combine like terms: 3 + -3 = 0 -3 + 10x + 8x2 = 0 + -2x + 2x -3 + 10x + 8x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 10x + 8x2 = 0 Factor a trinomial. (-3 + -2x)(1 + -4x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
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 = 0.25Solution
x = {-1.5, 0.25}
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