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Simplifying (8x + 5)(x + 7) = 0 Reorder the terms: (5 + 8x)(x + 7) = 0 Reorder the terms: (5 + 8x)(7 + x) = 0 Multiply (5 + 8x) * (7 + x) (5(7 + x) + 8x * (7 + x)) = 0 ((7 * 5 + x * 5) + 8x * (7 + x)) = 0 ((35 + 5x) + 8x * (7 + x)) = 0 (35 + 5x + (7 * 8x + x * 8x)) = 0 (35 + 5x + (56x + 8x2)) = 0 Combine like terms: 5x + 56x = 61x (35 + 61x + 8x2) = 0 Solving 35 + 61x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(5 + 8x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
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 = -0.625Solution
x = {-7, -0.625}
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