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Simplifying (8x + 1)(7x + 3) = 0 Reorder the terms: (1 + 8x)(7x + 3) = 0 Reorder the terms: (1 + 8x)(3 + 7x) = 0 Multiply (1 + 8x) * (3 + 7x) (1(3 + 7x) + 8x * (3 + 7x)) = 0 ((3 * 1 + 7x * 1) + 8x * (3 + 7x)) = 0 ((3 + 7x) + 8x * (3 + 7x)) = 0 (3 + 7x + (3 * 8x + 7x * 8x)) = 0 (3 + 7x + (24x + 56x2)) = 0 Combine like terms: 7x + 24x = 31x (3 + 31x + 56x2) = 0 Solving 3 + 31x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 7x)(1 + 8x) = 0Subproblem 1
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 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 = {-0.4285714286, -0.125}
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