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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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