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Simplifying 8x2 + x = 3x2 + -2x + 2 Reorder the terms: x + 8x2 = 3x2 + -2x + 2 Reorder the terms: x + 8x2 = 2 + -2x + 3x2 Solving x + 8x2 = 2 + -2x + 3x2 Solving for variable 'x'. Reorder the terms: -2 + x + 2x + 8x2 + -3x2 = 2 + -2x + 3x2 + -2 + 2x + -3x2 Combine like terms: x + 2x = 3x -2 + 3x + 8x2 + -3x2 = 2 + -2x + 3x2 + -2 + 2x + -3x2 Combine like terms: 8x2 + -3x2 = 5x2 -2 + 3x + 5x2 = 2 + -2x + 3x2 + -2 + 2x + -3x2 Reorder the terms: -2 + 3x + 5x2 = 2 + -2 + -2x + 2x + 3x2 + -3x2 Combine like terms: 2 + -2 = 0 -2 + 3x + 5x2 = 0 + -2x + 2x + 3x2 + -3x2 -2 + 3x + 5x2 = -2x + 2x + 3x2 + -3x2 Combine like terms: -2x + 2x = 0 -2 + 3x + 5x2 = 0 + 3x2 + -3x2 -2 + 3x + 5x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2 + 3x + 5x2 = 0 Factor a trinomial. (-1 + -1x)(2 + -5x) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1, 0.4}
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