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Simplifying 630x + -1x2 = 3125 Solving 630x + -1x2 = 3125 Solving for variable 'x'. Reorder the terms: -3125 + 630x + -1x2 = 3125 + -3125 Combine like terms: 3125 + -3125 = 0 -3125 + 630x + -1x2 = 0 Factor a trinomial. (-625 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-625 + x)' equal to zero and attempt to solve: Simplifying -625 + x = 0 Solving -625 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + x = 0 + 625 Combine like terms: -625 + 625 = 0 0 + x = 0 + 625 x = 0 + 625 Combine like terms: 0 + 625 = 625 x = 625 Simplifying x = 625Subproblem 2
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 = 5Solution
x = {625, 5}
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