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Simplifying 12x2 + -4x + -40 = 10x2 + -11x + -1 Reorder the terms: -40 + -4x + 12x2 = 10x2 + -11x + -1 Reorder the terms: -40 + -4x + 12x2 = -1 + -11x + 10x2 Solving -40 + -4x + 12x2 = -1 + -11x + 10x2 Solving for variable 'x'. Reorder the terms: -40 + 1 + -4x + 11x + 12x2 + -10x2 = -1 + -11x + 10x2 + 1 + 11x + -10x2 Combine like terms: -40 + 1 = -39 -39 + -4x + 11x + 12x2 + -10x2 = -1 + -11x + 10x2 + 1 + 11x + -10x2 Combine like terms: -4x + 11x = 7x -39 + 7x + 12x2 + -10x2 = -1 + -11x + 10x2 + 1 + 11x + -10x2 Combine like terms: 12x2 + -10x2 = 2x2 -39 + 7x + 2x2 = -1 + -11x + 10x2 + 1 + 11x + -10x2 Reorder the terms: -39 + 7x + 2x2 = -1 + 1 + -11x + 11x + 10x2 + -10x2 Combine like terms: -1 + 1 = 0 -39 + 7x + 2x2 = 0 + -11x + 11x + 10x2 + -10x2 -39 + 7x + 2x2 = -11x + 11x + 10x2 + -10x2 Combine like terms: -11x + 11x = 0 -39 + 7x + 2x2 = 0 + 10x2 + -10x2 -39 + 7x + 2x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -39 + 7x + 2x2 = 0 Factor a trinomial. (-13 + -2x)(3 + -1x) = 0Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5Subproblem 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 = {-6.5, 3}
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