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Simplifying 7x2 + 14x + -6 = 9 + -2x Reorder the terms: -6 + 14x + 7x2 = 9 + -2x Solving -6 + 14x + 7x2 = 9 + -2x Solving for variable 'x'. Reorder the terms: -6 + -9 + 14x + 2x + 7x2 = 9 + -2x + -9 + 2x Combine like terms: -6 + -9 = -15 -15 + 14x + 2x + 7x2 = 9 + -2x + -9 + 2x Combine like terms: 14x + 2x = 16x -15 + 16x + 7x2 = 9 + -2x + -9 + 2x Reorder the terms: -15 + 16x + 7x2 = 9 + -9 + -2x + 2x Combine like terms: 9 + -9 = 0 -15 + 16x + 7x2 = 0 + -2x + 2x -15 + 16x + 7x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 16x + 7x2 = 0 Factor a trinomial. (-3 + -1x)(5 + -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 '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {-3, 0.7142857143}
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