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Simplifying (x + 5)(8x + 5) = 0 Reorder the terms: (5 + x)(8x + 5) = 0 Reorder the terms: (5 + x)(5 + 8x) = 0 Multiply (5 + x) * (5 + 8x) (5(5 + 8x) + x(5 + 8x)) = 0 ((5 * 5 + 8x * 5) + x(5 + 8x)) = 0 ((25 + 40x) + x(5 + 8x)) = 0 (25 + 40x + (5 * x + 8x * x)) = 0 (25 + 40x + (5x + 8x2)) = 0 Combine like terms: 40x + 5x = 45x (25 + 45x + 8x2) = 0 Solving 25 + 45x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x)(5 + 8x) = 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 + 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 = {-5, -0.625}
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