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Simplifying x2 + -30x + 225 = -125 + 225 Reorder the terms: 225 + -30x + x2 = -125 + 225 Combine like terms: -125 + 225 = 100 225 + -30x + x2 = 100 Solving 225 + -30x + x2 = 100 Solving for variable 'x'. Reorder the terms: 225 + -100 + -30x + x2 = 100 + -100 Combine like terms: 225 + -100 = 125 125 + -30x + x2 = 100 + -100 Combine like terms: 100 + -100 = 0 125 + -30x + x2 = 0 Factor a trinomial. (5 + -1x)(25 + -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 '(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 = {5, 25}
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