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Simplifying (x + 25)(x + 25) = 0 Reorder the terms: (25 + x)(x + 25) = 0 Reorder the terms: (25 + x)(25 + x) = 0 Multiply (25 + x) * (25 + x) (25(25 + x) + x(25 + x)) = 0 ((25 * 25 + x * 25) + x(25 + x)) = 0 ((625 + 25x) + x(25 + x)) = 0 (625 + 25x + (25 * x + x * x)) = 0 (625 + 25x + (25x + x2)) = 0 Combine like terms: 25x + 25x = 50x (625 + 50x + x2) = 0 Solving 625 + 50x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + x)(25 + x) = 0Subproblem 1
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Subproblem 2
Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {-25, -25}
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