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Simplifying 3x2 + -244x + 4316 = 0 Reorder the terms: 4316 + -244x + 3x2 = 0 Solving 4316 + -244x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (26 + -1x)(166 + -3x) = 0Subproblem 1
Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26Subproblem 2
Set the factor '(166 + -3x)' equal to zero and attempt to solve: Simplifying 166 + -3x = 0 Solving 166 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-166' to each side of the equation. 166 + -166 + -3x = 0 + -166 Combine like terms: 166 + -166 = 0 0 + -3x = 0 + -166 -3x = 0 + -166 Combine like terms: 0 + -166 = -166 -3x = -166 Divide each side by '-3'. x = 55.33333333 Simplifying x = 55.33333333Solution
x = {26, 55.33333333}
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