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Simplifying 7x2 + -5x + 7 = 14x + 13 Reorder the terms: 7 + -5x + 7x2 = 14x + 13 Reorder the terms: 7 + -5x + 7x2 = 13 + 14x Solving 7 + -5x + 7x2 = 13 + 14x Solving for variable 'x'. Reorder the terms: 7 + -13 + -5x + -14x + 7x2 = 13 + 14x + -13 + -14x Combine like terms: 7 + -13 = -6 -6 + -5x + -14x + 7x2 = 13 + 14x + -13 + -14x Combine like terms: -5x + -14x = -19x -6 + -19x + 7x2 = 13 + 14x + -13 + -14x Reorder the terms: -6 + -19x + 7x2 = 13 + -13 + 14x + -14x Combine like terms: 13 + -13 = 0 -6 + -19x + 7x2 = 0 + 14x + -14x -6 + -19x + 7x2 = 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -19x + 7x2 = 0 Factor a trinomial. (-2 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 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 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 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 = {-0.2857142857, 3}
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