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Simplifying (2 + x)(2 + x) = 49 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = 49 ((2 * 2 + x * 2) + x(2 + x)) = 49 ((4 + 2x) + x(2 + x)) = 49 (4 + 2x + (2 * x + x * x)) = 49 (4 + 2x + (2x + x2)) = 49 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = 49 Solving 4 + 4x + x2 = 49 Solving for variable 'x'. Reorder the terms: 4 + -49 + 4x + x2 = 49 + -49 Combine like terms: 4 + -49 = -45 -45 + 4x + x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -45 + 4x + x2 = 0 Factor a trinomial. (-9 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 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 = {-9, 5}
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