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Simplifying (x + 7)(x + 7) = 121 Reorder the terms: (7 + x)(x + 7) = 121 Reorder the terms: (7 + x)(7 + x) = 121 Multiply (7 + x) * (7 + x) (7(7 + x) + x(7 + x)) = 121 ((7 * 7 + x * 7) + x(7 + x)) = 121 ((49 + 7x) + x(7 + x)) = 121 (49 + 7x + (7 * x + x * x)) = 121 (49 + 7x + (7x + x2)) = 121 Combine like terms: 7x + 7x = 14x (49 + 14x + x2) = 121 Solving 49 + 14x + x2 = 121 Solving for variable 'x'. Reorder the terms: 49 + -121 + 14x + x2 = 121 + -121 Combine like terms: 49 + -121 = -72 -72 + 14x + x2 = 121 + -121 Combine like terms: 121 + -121 = 0 -72 + 14x + x2 = 0 Factor a trinomial. (-18 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-18, 4}
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