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Simplifying (X + 12)(X + 3) = 0 Reorder the terms: (12 + X)(X + 3) = 0 Reorder the terms: (12 + X)(3 + X) = 0 Multiply (12 + X) * (3 + X) (12(3 + X) + X(3 + X)) = 0 ((3 * 12 + X * 12) + X(3 + X)) = 0 ((36 + 12X) + X(3 + X)) = 0 (36 + 12X + (3 * X + X * X)) = 0 (36 + 12X + (3X + X2)) = 0 Combine like terms: 12X + 3X = 15X (36 + 15X + X2) = 0 Solving 36 + 15X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (12 + X)(3 + X) = 0Subproblem 1
Set the factor '(12 + X)' equal to zero and attempt to solve: Simplifying 12 + X = 0 Solving 12 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + X = 0 + -12 X = 0 + -12 Combine like terms: 0 + -12 = -12 X = -12 Simplifying X = -12Subproblem 2
Set the factor '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3Solution
X = {-12, -3}
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