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Simplifying (X + -2)(X + -2) = -1X + 14 Reorder the terms: (-2 + X)(X + -2) = -1X + 14 Reorder the terms: (-2 + X)(-2 + X) = -1X + 14 Multiply (-2 + X) * (-2 + X) (-2(-2 + X) + X(-2 + X)) = -1X + 14 ((-2 * -2 + X * -2) + X(-2 + X)) = -1X + 14 ((4 + -2X) + X(-2 + X)) = -1X + 14 (4 + -2X + (-2 * X + X * X)) = -1X + 14 (4 + -2X + (-2X + X2)) = -1X + 14 Combine like terms: -2X + -2X = -4X (4 + -4X + X2) = -1X + 14 Reorder the terms: 4 + -4X + X2 = 14 + -1X Solving 4 + -4X + X2 = 14 + -1X Solving for variable 'X'. Reorder the terms: 4 + -14 + -4X + X + X2 = 14 + -1X + -14 + X Combine like terms: 4 + -14 = -10 -10 + -4X + X + X2 = 14 + -1X + -14 + X Combine like terms: -4X + X = -3X -10 + -3X + X2 = 14 + -1X + -14 + X Reorder the terms: -10 + -3X + X2 = 14 + -14 + -1X + X Combine like terms: 14 + -14 = 0 -10 + -3X + X2 = 0 + -1X + X -10 + -3X + X2 = -1X + X Combine like terms: -1X + X = 0 -10 + -3X + X2 = 0 Factor a trinomial. (-2 + -1X)(5 + -1X) = 0Subproblem 1
Set the factor '(-2 + -1X)' equal to zero and attempt to solve: Simplifying -2 + -1X = 0 Solving -2 + -1X = 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 + -1X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1X = 0 + 2 -1X = 0 + 2 Combine like terms: 0 + 2 = 2 -1X = 2 Divide each side by '-1'. X = -2 Simplifying X = -2Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {-2, 5}
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