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Simplifying (x + 10)(x + 10) = 25 Reorder the terms: (10 + x)(x + 10) = 25 Reorder the terms: (10 + x)(10 + x) = 25 Multiply (10 + x) * (10 + x) (10(10 + x) + x(10 + x)) = 25 ((10 * 10 + x * 10) + x(10 + x)) = 25 ((100 + 10x) + x(10 + x)) = 25 (100 + 10x + (10 * x + x * x)) = 25 (100 + 10x + (10x + x2)) = 25 Combine like terms: 10x + 10x = 20x (100 + 20x + x2) = 25 Solving 100 + 20x + x2 = 25 Solving for variable 'x'. Reorder the terms: 100 + -25 + 20x + x2 = 25 + -25 Combine like terms: 100 + -25 = 75 75 + 20x + x2 = 25 + -25 Combine like terms: 25 + -25 = 0 75 + 20x + x2 = 0 Factor a trinomial. (15 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-15, -5}
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