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Simplifying x2 + 75x + -316 = 0 Reorder the terms: -316 + 75x + x2 = 0 Solving -316 + 75x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-79 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-79 + -1x)' equal to zero and attempt to solve: Simplifying -79 + -1x = 0 Solving -79 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + -1x = 0 + 79 Combine like terms: -79 + 79 = 0 0 + -1x = 0 + 79 -1x = 0 + 79 Combine like terms: 0 + 79 = 79 -1x = 79 Divide each side by '-1'. x = -79 Simplifying x = -79Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-79, 4}
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