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Simplifying x2 + 600x + 80000 = 95625 Reorder the terms: 80000 + 600x + x2 = 95625 Solving 80000 + 600x + x2 = 95625 Solving for variable 'x'. Reorder the terms: 80000 + -95625 + 600x + x2 = 95625 + -95625 Combine like terms: 80000 + -95625 = -15625 -15625 + 600x + x2 = 95625 + -95625 Combine like terms: 95625 + -95625 = 0 -15625 + 600x + x2 = 0 Factor a trinomial. (-625 + -1x)(25 + -1x) = 0Subproblem 1
Set the factor '(-625 + -1x)' equal to zero and attempt to solve: Simplifying -625 + -1x = 0 Solving -625 + -1x = 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 + -1x = 0 + 625 Combine like terms: -625 + 625 = 0 0 + -1x = 0 + 625 -1x = 0 + 625 Combine like terms: 0 + 625 = 625 -1x = 625 Divide each side by '-1'. x = -625 Simplifying x = -625Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-625, 25}
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