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Simplifying (5x + -4)(5x + 8) = 0 Reorder the terms: (-4 + 5x)(5x + 8) = 0 Reorder the terms: (-4 + 5x)(8 + 5x) = 0 Multiply (-4 + 5x) * (8 + 5x) (-4(8 + 5x) + 5x * (8 + 5x)) = 0 ((8 * -4 + 5x * -4) + 5x * (8 + 5x)) = 0 ((-32 + -20x) + 5x * (8 + 5x)) = 0 (-32 + -20x + (8 * 5x + 5x * 5x)) = 0 (-32 + -20x + (40x + 25x2)) = 0 Combine like terms: -20x + 40x = 20x (-32 + 20x + 25x2) = 0 Solving -32 + 20x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x)(4 + -5x) = 0Subproblem 1
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 = -1.6Subproblem 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 = {-1.6, 0.8}
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