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Simplifying X2 + X2 + 12X + 36 = 260 Reorder the terms: 36 + 12X + X2 + X2 = 260 Combine like terms: X2 + X2 = 2X2 36 + 12X + 2X2 = 260 Solving 36 + 12X + 2X2 = 260 Solving for variable 'X'. Reorder the terms: 36 + -260 + 12X + 2X2 = 260 + -260 Combine like terms: 36 + -260 = -224 -224 + 12X + 2X2 = 260 + -260 Combine like terms: 260 + -260 = 0 -224 + 12X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-112 + 6X + X2) = 0 Factor a trinomial. 2((-14 + -1X)(8 + -1X)) = 0 Ignore the factor 2.Subproblem 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 '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {-14, 8}
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