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Simplifying (2x + 1)(8x + 3) = 0 Reorder the terms: (1 + 2x)(8x + 3) = 0 Reorder the terms: (1 + 2x)(3 + 8x) = 0 Multiply (1 + 2x) * (3 + 8x) (1(3 + 8x) + 2x * (3 + 8x)) = 0 ((3 * 1 + 8x * 1) + 2x * (3 + 8x)) = 0 ((3 + 8x) + 2x * (3 + 8x)) = 0 (3 + 8x + (3 * 2x + 8x * 2x)) = 0 (3 + 8x + (6x + 16x2)) = 0 Combine like terms: 8x + 6x = 14x (3 + 14x + 16x2) = 0 Solving 3 + 14x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 2x)(3 + 8x) = 0Subproblem 1
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {-0.5, -0.375}
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