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Simplifying 7x2 + 13x + -14 = 4 + -2x Reorder the terms: -14 + 13x + 7x2 = 4 + -2x Solving -14 + 13x + 7x2 = 4 + -2x Solving for variable 'x'. Reorder the terms: -14 + -4 + 13x + 2x + 7x2 = 4 + -2x + -4 + 2x Combine like terms: -14 + -4 = -18 -18 + 13x + 2x + 7x2 = 4 + -2x + -4 + 2x Combine like terms: 13x + 2x = 15x -18 + 15x + 7x2 = 4 + -2x + -4 + 2x Reorder the terms: -18 + 15x + 7x2 = 4 + -4 + -2x + 2x Combine like terms: 4 + -4 = 0 -18 + 15x + 7x2 = 0 + -2x + 2x -18 + 15x + 7x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 15x + 7x2 = 0 Factor a trinomial. (-3 + -1x)(6 + -7x) = 0Subproblem 1
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 = -3Subproblem 2
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 = 0.8571428571Solution
x = {-3, 0.8571428571}
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