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Simplifying 5x2 + -75x = 380 Reorder the terms: -75x + 5x2 = 380 Solving -75x + 5x2 = 380 Solving for variable 'x'. Reorder the terms: -380 + -75x + 5x2 = 380 + -380 Combine like terms: 380 + -380 = 0 -380 + -75x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-76 + -15x + x2) = 0 Factor a trinomial. 5((-4 + -1x)(19 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {-4, 19}
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