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Simplifying (8x + -1)(4x + 3) = 0 Reorder the terms: (-1 + 8x)(4x + 3) = 0 Reorder the terms: (-1 + 8x)(3 + 4x) = 0 Multiply (-1 + 8x) * (3 + 4x) (-1(3 + 4x) + 8x * (3 + 4x)) = 0 ((3 * -1 + 4x * -1) + 8x * (3 + 4x)) = 0 ((-3 + -4x) + 8x * (3 + 4x)) = 0 (-3 + -4x + (3 * 8x + 4x * 8x)) = 0 (-3 + -4x + (24x + 32x2)) = 0 Combine like terms: -4x + 24x = 20x (-3 + 20x + 32x2) = 0 Solving -3 + 20x + 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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