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Simplifying (x + 2)(x + 14) = -36 Reorder the terms: (2 + x)(x + 14) = -36 Reorder the terms: (2 + x)(14 + x) = -36 Multiply (2 + x) * (14 + x) (2(14 + x) + x(14 + x)) = -36 ((14 * 2 + x * 2) + x(14 + x)) = -36 ((28 + 2x) + x(14 + x)) = -36 (28 + 2x + (14 * x + x * x)) = -36 (28 + 2x + (14x + x2)) = -36 Combine like terms: 2x + 14x = 16x (28 + 16x + x2) = -36 Solving 28 + 16x + x2 = -36 Solving for variable 'x'. Reorder the terms: 28 + 36 + 16x + x2 = -36 + 36 Combine like terms: 28 + 36 = 64 64 + 16x + x2 = -36 + 36 Combine like terms: -36 + 36 = 0 64 + 16x + x2 = 0 Factor a trinomial. (8 + x)(8 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-8, -8}
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