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Simplifying (x + -2)(x + 2) = 7x + -14 Reorder the terms: (-2 + x)(x + 2) = 7x + -14 Reorder the terms: (-2 + x)(2 + x) = 7x + -14 Multiply (-2 + x) * (2 + x) (-2(2 + x) + x(2 + x)) = 7x + -14 ((2 * -2 + x * -2) + x(2 + x)) = 7x + -14 ((-4 + -2x) + x(2 + x)) = 7x + -14 (-4 + -2x + (2 * x + x * x)) = 7x + -14 (-4 + -2x + (2x + x2)) = 7x + -14 Combine like terms: -2x + 2x = 0 (-4 + 0 + x2) = 7x + -14 (-4 + x2) = 7x + -14 Reorder the terms: -4 + x2 = -14 + 7x Solving -4 + x2 = -14 + 7x Solving for variable 'x'. Reorder the terms: -4 + 14 + -7x + x2 = -14 + 7x + 14 + -7x Combine like terms: -4 + 14 = 10 10 + -7x + x2 = -14 + 7x + 14 + -7x Reorder the terms: 10 + -7x + x2 = -14 + 14 + 7x + -7x Combine like terms: -14 + 14 = 0 10 + -7x + x2 = 0 + 7x + -7x 10 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 10 + -7x + 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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