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Simplifying 5x2 + 27x + -770 = 0 Reorder the terms: -770 + 27x + 5x2 = 0 Solving -770 + 27x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-77 + -5x)(10 + -1x) = 0Subproblem 1
Set the factor '(-77 + -5x)' equal to zero and attempt to solve: Simplifying -77 + -5x = 0 Solving -77 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -5x = 0 + 77 Combine like terms: -77 + 77 = 0 0 + -5x = 0 + 77 -5x = 0 + 77 Combine like terms: 0 + 77 = 77 -5x = 77 Divide each side by '-5'. x = -15.4 Simplifying x = -15.4Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-15.4, 10}
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