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Simplifying 5x2 + -10x = 2x2 + x + -6 Reorder the terms: -10x + 5x2 = 2x2 + x + -6 Reorder the terms: -10x + 5x2 = -6 + x + 2x2 Solving -10x + 5x2 = -6 + x + 2x2 Solving for variable 'x'. Reorder the terms: 6 + -10x + -1x + 5x2 + -2x2 = -6 + x + 2x2 + 6 + -1x + -2x2 Combine like terms: -10x + -1x = -11x 6 + -11x + 5x2 + -2x2 = -6 + x + 2x2 + 6 + -1x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 6 + -11x + 3x2 = -6 + x + 2x2 + 6 + -1x + -2x2 Reorder the terms: 6 + -11x + 3x2 = -6 + 6 + x + -1x + 2x2 + -2x2 Combine like terms: -6 + 6 = 0 6 + -11x + 3x2 = 0 + x + -1x + 2x2 + -2x2 6 + -11x + 3x2 = x + -1x + 2x2 + -2x2 Combine like terms: x + -1x = 0 6 + -11x + 3x2 = 0 + 2x2 + -2x2 6 + -11x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 6 + -11x + 3x2 = 0 Factor a trinomial. (2 + -3x)(3 + -1x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.6666666667, 3}
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