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Simplifying (8x + 1)(5x + -4) = 0 Reorder the terms: (1 + 8x)(5x + -4) = 0 Reorder the terms: (1 + 8x)(-4 + 5x) = 0 Multiply (1 + 8x) * (-4 + 5x) (1(-4 + 5x) + 8x * (-4 + 5x)) = 0 ((-4 * 1 + 5x * 1) + 8x * (-4 + 5x)) = 0 ((-4 + 5x) + 8x * (-4 + 5x)) = 0 (-4 + 5x + (-4 * 8x + 5x * 8x)) = 0 (-4 + 5x + (-32x + 40x2)) = 0 Combine like terms: 5x + -32x = -27x (-4 + -27x + 40x2) = 0 Solving -4 + -27x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -8x)(4 + -5x) = 0Subproblem 1
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 = -0.125Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {-0.125, 0.8}
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