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Simplifying 2x2 + -40x = -7x2 + -5x + -24 Reorder the terms: -40x + 2x2 = -7x2 + -5x + -24 Reorder the terms: -40x + 2x2 = -24 + -5x + -7x2 Solving -40x + 2x2 = -24 + -5x + -7x2 Solving for variable 'x'. Reorder the terms: 24 + -40x + 5x + 2x2 + 7x2 = -24 + -5x + -7x2 + 24 + 5x + 7x2 Combine like terms: -40x + 5x = -35x 24 + -35x + 2x2 + 7x2 = -24 + -5x + -7x2 + 24 + 5x + 7x2 Combine like terms: 2x2 + 7x2 = 9x2 24 + -35x + 9x2 = -24 + -5x + -7x2 + 24 + 5x + 7x2 Reorder the terms: 24 + -35x + 9x2 = -24 + 24 + -5x + 5x + -7x2 + 7x2 Combine like terms: -24 + 24 = 0 24 + -35x + 9x2 = 0 + -5x + 5x + -7x2 + 7x2 24 + -35x + 9x2 = -5x + 5x + -7x2 + 7x2 Combine like terms: -5x + 5x = 0 24 + -35x + 9x2 = 0 + -7x2 + 7x2 24 + -35x + 9x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 24 + -35x + 9x2 = 0 Factor a trinomial. (8 + -9x)(3 + -1x) = 0Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Subproblem 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 = {0.8888888889, 3}
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