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Simplifying (7x + 1)(8x + 5) = 0 Reorder the terms: (1 + 7x)(8x + 5) = 0 Reorder the terms: (1 + 7x)(5 + 8x) = 0 Multiply (1 + 7x) * (5 + 8x) (1(5 + 8x) + 7x * (5 + 8x)) = 0 ((5 * 1 + 8x * 1) + 7x * (5 + 8x)) = 0 ((5 + 8x) + 7x * (5 + 8x)) = 0 (5 + 8x + (5 * 7x + 8x * 7x)) = 0 (5 + 8x + (35x + 56x2)) = 0 Combine like terms: 8x + 35x = 43x (5 + 43x + 56x2) = 0 Solving 5 + 43x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 8x)(1 + 7x) = 0Subproblem 1
Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 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 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-0.625, -0.1428571429}
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