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Simplifying 2x2 + -41x = -5x2 + -7x + -24 Reorder the terms: -41x + 2x2 = -5x2 + -7x + -24 Reorder the terms: -41x + 2x2 = -24 + -7x + -5x2 Solving -41x + 2x2 = -24 + -7x + -5x2 Solving for variable 'x'. Reorder the terms: 24 + -41x + 7x + 2x2 + 5x2 = -24 + -7x + -5x2 + 24 + 7x + 5x2 Combine like terms: -41x + 7x = -34x 24 + -34x + 2x2 + 5x2 = -24 + -7x + -5x2 + 24 + 7x + 5x2 Combine like terms: 2x2 + 5x2 = 7x2 24 + -34x + 7x2 = -24 + -7x + -5x2 + 24 + 7x + 5x2 Reorder the terms: 24 + -34x + 7x2 = -24 + 24 + -7x + 7x + -5x2 + 5x2 Combine like terms: -24 + 24 = 0 24 + -34x + 7x2 = 0 + -7x + 7x + -5x2 + 5x2 24 + -34x + 7x2 = -7x + 7x + -5x2 + 5x2 Combine like terms: -7x + 7x = 0 24 + -34x + 7x2 = 0 + -5x2 + 5x2 24 + -34x + 7x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 24 + -34x + 7x2 = 0 Factor a trinomial. (6 + -7x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.8571428571, 4}
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