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Simplifying (8x + -5)(-5x + -8) = 0 Reorder the terms: (-5 + 8x)(-5x + -8) = 0 Reorder the terms: (-5 + 8x)(-8 + -5x) = 0 Multiply (-5 + 8x) * (-8 + -5x) (-5(-8 + -5x) + 8x * (-8 + -5x)) = 0 ((-8 * -5 + -5x * -5) + 8x * (-8 + -5x)) = 0 ((40 + 25x) + 8x * (-8 + -5x)) = 0 (40 + 25x + (-8 * 8x + -5x * 8x)) = 0 (40 + 25x + (-64x + -40x2)) = 0 Combine like terms: 25x + -64x = -39x (40 + -39x + -40x2) = 0 Solving 40 + -39x + -40x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -8x)(8 + 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 '(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 = -1.6Solution
x = {0.625, -1.6}
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