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Simplifying -40x2 + 1140x + -7020 = 0 Reorder the terms: -7020 + 1140x + -40x2 = 0 Solving -7020 + 1140x + -40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20'. 20(-351 + 57x + -2x2) = 0 Factor a trinomial. 20((-39 + 2x)(9 + -1x)) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-39 + 2x)' equal to zero and attempt to solve: Simplifying -39 + 2x = 0 Solving -39 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 2x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 2x = 0 + 39 2x = 0 + 39 Combine like terms: 0 + 39 = 39 2x = 39 Divide each side by '2'. x = 19.5 Simplifying x = 19.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {19.5, 9}
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