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Simplifying (X2) + -14X + -147 = 0 X2 + -14X + -147 = 0 Reorder the terms: -147 + -14X + X2 = 0 Solving -147 + -14X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-7 + -1X)(21 + -1X) = 0Subproblem 1
Set the factor '(-7 + -1X)' equal to zero and attempt to solve: Simplifying -7 + -1X = 0 Solving -7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1X = 0 + 7 -1X = 0 + 7 Combine like terms: 0 + 7 = 7 -1X = 7 Divide each side by '-1'. X = -7 Simplifying X = -7Subproblem 2
Set the factor '(21 + -1X)' equal to zero and attempt to solve: Simplifying 21 + -1X = 0 Solving 21 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1X = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1X = 0 + -21 -1X = 0 + -21 Combine like terms: 0 + -21 = -21 -1X = -21 Divide each side by '-1'. X = 21 Simplifying X = 21Solution
X = {-7, 21}
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