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Simplifying (8x + 2)(5x + 1) = 0 Reorder the terms: (2 + 8x)(5x + 1) = 0 Reorder the terms: (2 + 8x)(1 + 5x) = 0 Multiply (2 + 8x) * (1 + 5x) (2(1 + 5x) + 8x * (1 + 5x)) = 0 ((1 * 2 + 5x * 2) + 8x * (1 + 5x)) = 0 ((2 + 10x) + 8x * (1 + 5x)) = 0 (2 + 10x + (1 * 8x + 5x * 8x)) = 0 (2 + 10x + (8x + 40x2)) = 0 Combine like terms: 10x + 8x = 18x (2 + 18x + 40x2) = 0 Solving 2 + 18x + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 9x + 20x2) = 0 Factor a trinomial. 2((1 + 4x)(1 + 5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-0.25, -0.2}
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