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Simplifying 2x2 + -31x = -5x2 + -4x + -18 Reorder the terms: -31x + 2x2 = -5x2 + -4x + -18 Reorder the terms: -31x + 2x2 = -18 + -4x + -5x2 Solving -31x + 2x2 = -18 + -4x + -5x2 Solving for variable 'x'. Reorder the terms: 18 + -31x + 4x + 2x2 + 5x2 = -18 + -4x + -5x2 + 18 + 4x + 5x2 Combine like terms: -31x + 4x = -27x 18 + -27x + 2x2 + 5x2 = -18 + -4x + -5x2 + 18 + 4x + 5x2 Combine like terms: 2x2 + 5x2 = 7x2 18 + -27x + 7x2 = -18 + -4x + -5x2 + 18 + 4x + 5x2 Reorder the terms: 18 + -27x + 7x2 = -18 + 18 + -4x + 4x + -5x2 + 5x2 Combine like terms: -18 + 18 = 0 18 + -27x + 7x2 = 0 + -4x + 4x + -5x2 + 5x2 18 + -27x + 7x2 = -4x + 4x + -5x2 + 5x2 Combine like terms: -4x + 4x = 0 18 + -27x + 7x2 = 0 + -5x2 + 5x2 18 + -27x + 7x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 18 + -27x + 7x2 = 0 Factor a trinomial. (6 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 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 = {0.8571428571, 3}
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