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Simplifying (4x + -5)(5x + 4) = 0 Reorder the terms: (-5 + 4x)(5x + 4) = 0 Reorder the terms: (-5 + 4x)(4 + 5x) = 0 Multiply (-5 + 4x) * (4 + 5x) (-5(4 + 5x) + 4x * (4 + 5x)) = 0 ((4 * -5 + 5x * -5) + 4x * (4 + 5x)) = 0 ((-20 + -25x) + 4x * (4 + 5x)) = 0 (-20 + -25x + (4 * 4x + 5x * 4x)) = 0 (-20 + -25x + (16x + 20x2)) = 0 Combine like terms: -25x + 16x = -9x (-20 + -9x + 20x2) = 0 Solving -20 + -9x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x)(5 + -4x) = 0Subproblem 1
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 = -0.8Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-0.8, 1.25}
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