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Simplifying x2 + -40x + 400 = 625 Reorder the terms: 400 + -40x + x2 = 625 Solving 400 + -40x + x2 = 625 Solving for variable 'x'. Reorder the terms: 400 + -625 + -40x + x2 = 625 + -625 Combine like terms: 400 + -625 = -225 -225 + -40x + x2 = 625 + -625 Combine like terms: 625 + -625 = 0 -225 + -40x + x2 = 0 Factor a trinomial. (-5 + -1x)(45 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 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 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Solution
x = {-5, 45}
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