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Simplifying 4(x + 5)(8x + 1) = 0 Reorder the terms: 4(5 + x)(8x + 1) = 0 Reorder the terms: 4(5 + x)(1 + 8x) = 0 Multiply (5 + x) * (1 + 8x) 4(5(1 + 8x) + x(1 + 8x)) = 0 4((1 * 5 + 8x * 5) + x(1 + 8x)) = 0 4((5 + 40x) + x(1 + 8x)) = 0 4(5 + 40x + (1 * x + 8x * x)) = 0 4(5 + 40x + (1x + 8x2)) = 0 Combine like terms: 40x + 1x = 41x 4(5 + 41x + 8x2) = 0 (5 * 4 + 41x * 4 + 8x2 * 4) = 0 (20 + 164x + 32x2) = 0 Solving 20 + 164x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(5 + 41x + 8x2) = 0 Factor a trinomial. 4((5 + x)(1 + 8x)) = 0 Ignore the factor 4.Subproblem 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 '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Solution
x = {-5, -0.125}
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