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Simplifying X2 + 3X = 154 Reorder the terms: 3X + X2 = 154 Solving 3X + X2 = 154 Solving for variable 'X'. Reorder the terms: -154 + 3X + X2 = 154 + -154 Combine like terms: 154 + -154 = 0 -154 + 3X + X2 = 0 Factor a trinomial. (-14 + -1X)(11 + -1X) = 0Subproblem 1
Set the factor '(-14 + -1X)' equal to zero and attempt to solve: Simplifying -14 + -1X = 0 Solving -14 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1X = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1X = 0 + 14 -1X = 0 + 14 Combine like terms: 0 + 14 = 14 -1X = 14 Divide each side by '-1'. X = -14 Simplifying X = -14Subproblem 2
Set the factor '(11 + -1X)' equal to zero and attempt to solve: Simplifying 11 + -1X = 0 Solving 11 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1X = 0 + -11 -1X = 0 + -11 Combine like terms: 0 + -11 = -11 -1X = -11 Divide each side by '-1'. X = 11 Simplifying X = 11Solution
X = {-14, 11}
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