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Simplifying x2 + 50x + 625 = 400 Reorder the terms: 625 + 50x + x2 = 400 Solving 625 + 50x + x2 = 400 Solving for variable 'x'. Reorder the terms: 625 + -400 + 50x + x2 = 400 + -400 Combine like terms: 625 + -400 = 225 225 + 50x + x2 = 400 + -400 Combine like terms: 400 + -400 = 0 225 + 50x + x2 = 0 Factor a trinomial. (45 + x)(5 + x) = 0Subproblem 1
Set the factor '(45 + x)' equal to zero and attempt to solve: Simplifying 45 + x = 0 Solving 45 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + x = 0 + -45 x = 0 + -45 Combine like terms: 0 + -45 = -45 x = -45 Simplifying x = -45Subproblem 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 = {-45, -5}
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