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Simplifying (X + 14)(X + 2) = 0 Reorder the terms: (14 + X)(X + 2) = 0 Reorder the terms: (14 + X)(2 + X) = 0 Multiply (14 + X) * (2 + X) (14(2 + X) + X(2 + X)) = 0 ((2 * 14 + X * 14) + X(2 + X)) = 0 ((28 + 14X) + X(2 + X)) = 0 (28 + 14X + (2 * X + X * X)) = 0 (28 + 14X + (2X + X2)) = 0 Combine like terms: 14X + 2X = 16X (28 + 16X + X2) = 0 Solving 28 + 16X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (14 + X)(2 + X) = 0Subproblem 1
Set the factor '(14 + X)' equal to zero and attempt to solve: Simplifying 14 + X = 0 Solving 14 + X = 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 + X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + X = 0 + -14 X = 0 + -14 Combine like terms: 0 + -14 = -14 X = -14 Simplifying X = -14Subproblem 2
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Solution
X = {-14, -2}
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