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Simplifying (x + 2)(x + 2) = 2x2 + x + -14 Reorder the terms: (2 + x)(x + 2) = 2x2 + x + -14 Reorder the terms: (2 + x)(2 + x) = 2x2 + x + -14 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = 2x2 + x + -14 ((2 * 2 + x * 2) + x(2 + x)) = 2x2 + x + -14 ((4 + 2x) + x(2 + x)) = 2x2 + x + -14 (4 + 2x + (2 * x + x * x)) = 2x2 + x + -14 (4 + 2x + (2x + x2)) = 2x2 + x + -14 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = 2x2 + x + -14 Reorder the terms: 4 + 4x + x2 = -14 + x + 2x2 Solving 4 + 4x + x2 = -14 + x + 2x2 Solving for variable 'x'. Reorder the terms: 4 + 14 + 4x + -1x + x2 + -2x2 = -14 + x + 2x2 + 14 + -1x + -2x2 Combine like terms: 4 + 14 = 18 18 + 4x + -1x + x2 + -2x2 = -14 + x + 2x2 + 14 + -1x + -2x2 Combine like terms: 4x + -1x = 3x 18 + 3x + x2 + -2x2 = -14 + x + 2x2 + 14 + -1x + -2x2 Combine like terms: x2 + -2x2 = -1x2 18 + 3x + -1x2 = -14 + x + 2x2 + 14 + -1x + -2x2 Reorder the terms: 18 + 3x + -1x2 = -14 + 14 + x + -1x + 2x2 + -2x2 Combine like terms: -14 + 14 = 0 18 + 3x + -1x2 = 0 + x + -1x + 2x2 + -2x2 18 + 3x + -1x2 = x + -1x + 2x2 + -2x2 Combine like terms: x + -1x = 0 18 + 3x + -1x2 = 0 + 2x2 + -2x2 18 + 3x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18 + 3x + -1x2 = 0 Factor a trinomial. (6 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 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 = {6, -3}
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