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Simplifying (5x + 5)(5x + -4) = 0 Reorder the terms: (5 + 5x)(5x + -4) = 0 Reorder the terms: (5 + 5x)(-4 + 5x) = 0 Multiply (5 + 5x) * (-4 + 5x) (5(-4 + 5x) + 5x * (-4 + 5x)) = 0 ((-4 * 5 + 5x * 5) + 5x * (-4 + 5x)) = 0 ((-20 + 25x) + 5x * (-4 + 5x)) = 0 (-20 + 25x + (-4 * 5x + 5x * 5x)) = 0 (-20 + 25x + (-20x + 25x2)) = 0 Combine like terms: 25x + -20x = 5x (-20 + 5x + 25x2) = 0 Solving -20 + 5x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + x + 5x2) = 0 Factor a trinomial. 5((-1 + -1x)(4 + -5x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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, 0.8}
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