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Simplifying 3x2 + -91x + 316 = 0 Reorder the terms: 316 + -91x + 3x2 = 0 Solving 316 + -91x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(79 + -3x) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(79 + -3x)' equal to zero and attempt to solve: Simplifying 79 + -3x = 0 Solving 79 + -3x = 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 + -3x = 0 + -79 Combine like terms: 79 + -79 = 0 0 + -3x = 0 + -79 -3x = 0 + -79 Combine like terms: 0 + -79 = -79 -3x = -79 Divide each side by '-3'. x = 26.33333333 Simplifying x = 26.33333333Solution
x = {4, 26.33333333}
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