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Simplifying (4x + -1)(5x + 8) = 0 Reorder the terms: (-1 + 4x)(5x + 8) = 0 Reorder the terms: (-1 + 4x)(8 + 5x) = 0 Multiply (-1 + 4x) * (8 + 5x) (-1(8 + 5x) + 4x * (8 + 5x)) = 0 ((8 * -1 + 5x * -1) + 4x * (8 + 5x)) = 0 ((-8 + -5x) + 4x * (8 + 5x)) = 0 (-8 + -5x + (8 * 4x + 5x * 4x)) = 0 (-8 + -5x + (32x + 20x2)) = 0 Combine like terms: -5x + 32x = 27x (-8 + 27x + 20x2) = 0 Solving -8 + 27x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x)(1 + -4x) = 0Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6Subproblem 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 = {-1.6, 0.25}
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