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Simplifying (5x + 8)(7x + 5) = 0 Reorder the terms: (8 + 5x)(7x + 5) = 0 Reorder the terms: (8 + 5x)(5 + 7x) = 0 Multiply (8 + 5x) * (5 + 7x) (8(5 + 7x) + 5x * (5 + 7x)) = 0 ((5 * 8 + 7x * 8) + 5x * (5 + 7x)) = 0 ((40 + 56x) + 5x * (5 + 7x)) = 0 (40 + 56x + (5 * 5x + 7x * 5x)) = 0 (40 + 56x + (25x + 35x2)) = 0 Combine like terms: 56x + 25x = 81x (40 + 81x + 35x2) = 0 Solving 40 + 81x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 5x)(5 + 7x) = 0Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Subproblem 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 = {-1.6, -0.7142857143}
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