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Simplifying 15x2 + -40 = 115x Reorder the terms: -40 + 15x2 = 115x Solving -40 + 15x2 = 115x Solving for variable 'x'. Reorder the terms: -40 + -115x + 15x2 = 115x + -115x Combine like terms: 115x + -115x = 0 -40 + -115x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-8 + -23x + 3x2) = 0 Factor a trinomial. 5((-1 + -3x)(8 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-0.3333333333, 8}
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