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Simplifying 12x2 + -360x + 2025 = 0 Reorder the terms: 2025 + -360x + 12x2 = 0 Solving 2025 + -360x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(675 + -120x + 4x2) = 0 Factor a trinomial. 3((15 + -2x)(45 + -2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 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 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Subproblem 2
Set the factor '(45 + -2x)' equal to zero and attempt to solve: Simplifying 45 + -2x = 0 Solving 45 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -2x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 0 + -45 -2x = 0 + -45 Combine like terms: 0 + -45 = -45 -2x = -45 Divide each side by '-2'. x = 22.5 Simplifying x = 22.5Solution
x = {7.5, 22.5}
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