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Simplifying 7x2 = -40x + -25 Reorder the terms: 7x2 = -25 + -40x Solving 7x2 = -25 + -40x Solving for variable 'x'. Reorder the terms: 25 + 40x + 7x2 = -25 + -40x + 25 + 40x Reorder the terms: 25 + 40x + 7x2 = -25 + 25 + -40x + 40x Combine like terms: -25 + 25 = 0 25 + 40x + 7x2 = 0 + -40x + 40x 25 + 40x + 7x2 = -40x + 40x Combine like terms: -40x + 40x = 0 25 + 40x + 7x2 = 0 Factor a trinomial. (5 + x)(5 + 7x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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 = {-5, -0.7142857143}
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