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Simplifying x(8x + 3) = 3x2 + -6x + 2 Reorder the terms: x(3 + 8x) = 3x2 + -6x + 2 (3 * x + 8x * x) = 3x2 + -6x + 2 (3x + 8x2) = 3x2 + -6x + 2 Reorder the terms: 3x + 8x2 = 2 + -6x + 3x2 Solving 3x + 8x2 = 2 + -6x + 3x2 Solving for variable 'x'. Reorder the terms: -2 + 3x + 6x + 8x2 + -3x2 = 2 + -6x + 3x2 + -2 + 6x + -3x2 Combine like terms: 3x + 6x = 9x -2 + 9x + 8x2 + -3x2 = 2 + -6x + 3x2 + -2 + 6x + -3x2 Combine like terms: 8x2 + -3x2 = 5x2 -2 + 9x + 5x2 = 2 + -6x + 3x2 + -2 + 6x + -3x2 Reorder the terms: -2 + 9x + 5x2 = 2 + -2 + -6x + 6x + 3x2 + -3x2 Combine like terms: 2 + -2 = 0 -2 + 9x + 5x2 = 0 + -6x + 6x + 3x2 + -3x2 -2 + 9x + 5x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 -2 + 9x + 5x2 = 0 + 3x2 + -3x2 -2 + 9x + 5x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2 + 9x + 5x2 = 0 Factor a trinomial. (-2 + -1x)(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-2, 0.2}
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