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Simplifying 5x2 + 15x + -12740 = 0 Reorder the terms: -12740 + 15x + 5x2 = 0 Solving -12740 + 15x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-2548 + 3x + x2) = 0 Factor a trinomial. 5((-52 + -1x)(49 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-52 + -1x)' equal to zero and attempt to solve: Simplifying -52 + -1x = 0 Solving -52 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -1x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -1x = 0 + 52 -1x = 0 + 52 Combine like terms: 0 + 52 = 52 -1x = 52 Divide each side by '-1'. x = -52 Simplifying x = -52Subproblem 2
Set the factor '(49 + -1x)' equal to zero and attempt to solve: Simplifying 49 + -1x = 0 Solving 49 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 0 + -49 -1x = 0 + -49 Combine like terms: 0 + -49 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49Solution
x = {-52, 49}
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