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Simplifying (x + 5)(5x + -4) = 0 Reorder the terms: (5 + x)(5x + -4) = 0 Reorder the terms: (5 + x)(-4 + 5x) = 0 Multiply (5 + x) * (-4 + 5x) (5(-4 + 5x) + x(-4 + 5x)) = 0 ((-4 * 5 + 5x * 5) + x(-4 + 5x)) = 0 ((-20 + 25x) + x(-4 + 5x)) = 0 (-20 + 25x + (-4 * x + 5x * x)) = 0 (-20 + 25x + (-4x + 5x2)) = 0 Combine like terms: 25x + -4x = 21x (-20 + 21x + 5x2) = 0 Solving -20 + 21x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(4 + -5x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 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 = {-5, 0.8}
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