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Simplifying (5x + -6)(8x + 5) = 0 Reorder the terms: (-6 + 5x)(8x + 5) = 0 Reorder the terms: (-6 + 5x)(5 + 8x) = 0 Multiply (-6 + 5x) * (5 + 8x) (-6(5 + 8x) + 5x * (5 + 8x)) = 0 ((5 * -6 + 8x * -6) + 5x * (5 + 8x)) = 0 ((-30 + -48x) + 5x * (5 + 8x)) = 0 (-30 + -48x + (5 * 5x + 8x * 5x)) = 0 (-30 + -48x + (25x + 40x2)) = 0 Combine like terms: -48x + 25x = -23x (-30 + -23x + 40x2) = 0 Solving -30 + -23x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -8x)(6 + -5x) = 0Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-0.625, 1.2}
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