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Simplifying (X)(X) + 16X + 48 = 0 Multiply X * X X2 + 16X + 48 = 0 Reorder the terms: 48 + 16X + X2 = 0 Solving 48 + 16X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (12 + X)(4 + 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 '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Solution
X = {-12, -4}
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