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Simplifying 0 = x2 + 30x + 225 Reorder the terms: 0 = 225 + 30x + x2 Solving 0 = 225 + 30x + x2 Solving for variable 'x'. Combine like terms: 0 + -225 = -225 -225 + -30x + -1x2 = 225 + 30x + x2 + -225 + -30x + -1x2 Reorder the terms: -225 + -30x + -1x2 = 225 + -225 + 30x + -30x + x2 + -1x2 Combine like terms: 225 + -225 = 0 -225 + -30x + -1x2 = 0 + 30x + -30x + x2 + -1x2 -225 + -30x + -1x2 = 30x + -30x + x2 + -1x2 Combine like terms: 30x + -30x = 0 -225 + -30x + -1x2 = 0 + x2 + -1x2 -225 + -30x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -225 + -30x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(225 + 30x + x2) = 0 Factor a trinomial. -1((15 + x)(15 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 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 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 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 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {-15, -15}
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