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Simplifying -4x2 + 792x + -6080 = 0 Reorder the terms: -6080 + 792x + -4x2 = 0 Solving -6080 + 792x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1520 + 198x + -1x2) = 0 Factor a trinomial. 4((-190 + x)(8 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-190 + x)' equal to zero and attempt to solve: Simplifying -190 + x = 0 Solving -190 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '190' to each side of the equation. -190 + 190 + x = 0 + 190 Combine like terms: -190 + 190 = 0 0 + x = 0 + 190 x = 0 + 190 Combine like terms: 0 + 190 = 190 x = 190 Simplifying x = 190Subproblem 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 = {190, 8}
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