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Simplifying -5x2 + 80x + -295 = 5 Reorder the terms: -295 + 80x + -5x2 = 5 Solving -295 + 80x + -5x2 = 5 Solving for variable 'x'. Reorder the terms: -295 + -5 + 80x + -5x2 = 5 + -5 Combine like terms: -295 + -5 = -300 -300 + 80x + -5x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -300 + 80x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-60 + 16x + -1x2) = 0 Factor a trinomial. 5((-10 + x)(6 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {10, 6}
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