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Simplifying 7x2 + 5x + -14 = 34 + -29x Reorder the terms: -14 + 5x + 7x2 = 34 + -29x Solving -14 + 5x + 7x2 = 34 + -29x Solving for variable 'x'. Reorder the terms: -14 + -34 + 5x + 29x + 7x2 = 34 + -29x + -34 + 29x Combine like terms: -14 + -34 = -48 -48 + 5x + 29x + 7x2 = 34 + -29x + -34 + 29x Combine like terms: 5x + 29x = 34x -48 + 34x + 7x2 = 34 + -29x + -34 + 29x Reorder the terms: -48 + 34x + 7x2 = 34 + -34 + -29x + 29x Combine like terms: 34 + -34 = 0 -48 + 34x + 7x2 = 0 + -29x + 29x -48 + 34x + 7x2 = -29x + 29x Combine like terms: -29x + 29x = 0 -48 + 34x + 7x2 = 0 Factor a trinomial. (-6 + -1x)(8 + -7x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 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 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-6, 1.142857143}
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