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Simplifying 2x2 + -24x = -5x2 + -4x + -12 Reorder the terms: -24x + 2x2 = -5x2 + -4x + -12 Reorder the terms: -24x + 2x2 = -12 + -4x + -5x2 Solving -24x + 2x2 = -12 + -4x + -5x2 Solving for variable 'x'. Reorder the terms: 12 + -24x + 4x + 2x2 + 5x2 = -12 + -4x + -5x2 + 12 + 4x + 5x2 Combine like terms: -24x + 4x = -20x 12 + -20x + 2x2 + 5x2 = -12 + -4x + -5x2 + 12 + 4x + 5x2 Combine like terms: 2x2 + 5x2 = 7x2 12 + -20x + 7x2 = -12 + -4x + -5x2 + 12 + 4x + 5x2 Reorder the terms: 12 + -20x + 7x2 = -12 + 12 + -4x + 4x + -5x2 + 5x2 Combine like terms: -12 + 12 = 0 12 + -20x + 7x2 = 0 + -4x + 4x + -5x2 + 5x2 12 + -20x + 7x2 = -4x + 4x + -5x2 + 5x2 Combine like terms: -4x + 4x = 0 12 + -20x + 7x2 = 0 + -5x2 + 5x2 12 + -20x + 7x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 12 + -20x + 7x2 = 0 Factor a trinomial. (6 + -7x)(2 + -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 '(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 = 2Solution
x = {0.8571428571, 2}
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