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Simplifying x2 + -308x + 23716 = 0 Reorder the terms: 23716 + -308x + x2 = 0 Solving 23716 + -308x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (154 + -1x)(154 + -1x) = 0Subproblem 1
Set the factor '(154 + -1x)' equal to zero and attempt to solve: Simplifying 154 + -1x = 0 Solving 154 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-154' to each side of the equation. 154 + -154 + -1x = 0 + -154 Combine like terms: 154 + -154 = 0 0 + -1x = 0 + -154 -1x = 0 + -154 Combine like terms: 0 + -154 = -154 -1x = -154 Divide each side by '-1'. x = 154 Simplifying x = 154Subproblem 2
Set the factor '(154 + -1x)' equal to zero and attempt to solve: Simplifying 154 + -1x = 0 Solving 154 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-154' to each side of the equation. 154 + -154 + -1x = 0 + -154 Combine like terms: 154 + -154 = 0 0 + -1x = 0 + -154 -1x = 0 + -154 Combine like terms: 0 + -154 = -154 -1x = -154 Divide each side by '-1'. x = 154 Simplifying x = 154Solution
x = {154, 154}
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