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Simplifying (x + 9)(x + 9) = 36 Reorder the terms: (9 + x)(x + 9) = 36 Reorder the terms: (9 + x)(9 + x) = 36 Multiply (9 + x) * (9 + x) (9(9 + x) + x(9 + x)) = 36 ((9 * 9 + x * 9) + x(9 + x)) = 36 ((81 + 9x) + x(9 + x)) = 36 (81 + 9x + (9 * x + x * x)) = 36 (81 + 9x + (9x + x2)) = 36 Combine like terms: 9x + 9x = 18x (81 + 18x + x2) = 36 Solving 81 + 18x + x2 = 36 Solving for variable 'x'. Reorder the terms: 81 + -36 + 18x + x2 = 36 + -36 Combine like terms: 81 + -36 = 45 45 + 18x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 45 + 18x + x2 = 0 Factor a trinomial. (15 + x)(3 + x) = 0Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-15, -3}
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