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Simplifying (x + 9)(x + 9) = 25 Reorder the terms: (9 + x)(x + 9) = 25 Reorder the terms: (9 + x)(9 + x) = 25 Multiply (9 + x) * (9 + x) (9(9 + x) + x(9 + x)) = 25 ((9 * 9 + x * 9) + x(9 + x)) = 25 ((81 + 9x) + x(9 + x)) = 25 (81 + 9x + (9 * x + x * x)) = 25 (81 + 9x + (9x + x2)) = 25 Combine like terms: 9x + 9x = 18x (81 + 18x + x2) = 25 Solving 81 + 18x + x2 = 25 Solving for variable 'x'. Reorder the terms: 81 + -25 + 18x + x2 = 25 + -25 Combine like terms: 81 + -25 = 56 56 + 18x + x2 = 25 + -25 Combine like terms: 25 + -25 = 0 56 + 18x + x2 = 0 Factor a trinomial. (14 + x)(4 + x) = 0Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-14, -4}
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