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Simplifying (7x + 5)(x + 8) = 0 Reorder the terms: (5 + 7x)(x + 8) = 0 Reorder the terms: (5 + 7x)(8 + x) = 0 Multiply (5 + 7x) * (8 + x) (5(8 + x) + 7x * (8 + x)) = 0 ((8 * 5 + x * 5) + 7x * (8 + x)) = 0 ((40 + 5x) + 7x * (8 + x)) = 0 (40 + 5x + (8 * 7x + x * 7x)) = 0 (40 + 5x + (56x + 7x2)) = 0 Combine like terms: 5x + 56x = 61x (40 + 61x + 7x2) = 0 Solving 40 + 61x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(5 + 7x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 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 = {-8, -0.7142857143}
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