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Simplifying (4x + -1)(8x + 9) = 0 Reorder the terms: (-1 + 4x)(8x + 9) = 0 Reorder the terms: (-1 + 4x)(9 + 8x) = 0 Multiply (-1 + 4x) * (9 + 8x) (-1(9 + 8x) + 4x * (9 + 8x)) = 0 ((9 * -1 + 8x * -1) + 4x * (9 + 8x)) = 0 ((-9 + -8x) + 4x * (9 + 8x)) = 0 (-9 + -8x + (9 * 4x + 8x * 4x)) = 0 (-9 + -8x + (36x + 32x2)) = 0 Combine like terms: -8x + 36x = 28x (-9 + 28x + 32x2) = 0 Solving -9 + 28x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -8x)(1 + -4x) = 0Subproblem 1
Set the factor '(-9 + -8x)' equal to zero and attempt to solve: Simplifying -9 + -8x = 0 Solving -9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 0 + 9 -8x = 0 + 9 Combine like terms: 0 + 9 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125Subproblem 2
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 = 0.25Solution
x = {-1.125, 0.25}
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