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Simplifying 7x2 = -26x + -15 Reorder the terms: 7x2 = -15 + -26x Solving 7x2 = -15 + -26x Solving for variable 'x'. Reorder the terms: 15 + 26x + 7x2 = -15 + -26x + 15 + 26x Reorder the terms: 15 + 26x + 7x2 = -15 + 15 + -26x + 26x Combine like terms: -15 + 15 = 0 15 + 26x + 7x2 = 0 + -26x + 26x 15 + 26x + 7x2 = -26x + 26x Combine like terms: -26x + 26x = 0 15 + 26x + 7x2 = 0 Factor a trinomial. (3 + x)(5 + 7x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 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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