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Simplifying 8x(4x + 3) + 4x + 3 = 0 Reorder the terms: 8x(3 + 4x) + 4x + 3 = 0 (3 * 8x + 4x * 8x) + 4x + 3 = 0 (24x + 32x2) + 4x + 3 = 0 Reorder the terms: 3 + 24x + 4x + 32x2 = 0 Combine like terms: 24x + 4x = 28x 3 + 28x + 32x2 = 0 Solving 3 + 28x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 4x)(1 + 8x) = 0Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, -0.125}
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