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Simplifying 225 = 30x + -1x2 Solving 225 = 30x + -1x2 Solving for variable 'x'. Reorder the terms: 225 + -30x + x2 = 30x + -30x + -1x2 + x2 Combine like terms: 30x + -30x = 0 225 + -30x + x2 = 0 + -1x2 + x2 225 + -30x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 225 + -30x + x2 = 0 Factor a trinomial. (15 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {15, 15}
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