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Simplifying 0 = 2760x + -2025x2 Solving 0 = 2760x + -2025x2 Solving for variable 'x'. Remove the zero: -2760x + 2025x2 = 2760x + -2025x2 + -2760x + 2025x2 Reorder the terms: -2760x + 2025x2 = 2760x + -2760x + -2025x2 + 2025x2 Combine like terms: 2760x + -2760x = 0 -2760x + 2025x2 = 0 + -2025x2 + 2025x2 -2760x + 2025x2 = -2025x2 + 2025x2 Combine like terms: -2025x2 + 2025x2 = 0 -2760x + 2025x2 = 0 Factor out the Greatest Common Factor (GCF), '15x'. 15x(-184 + 135x) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-184 + 135x)' equal to zero and attempt to solve: Simplifying -184 + 135x = 0 Solving -184 + 135x = 0 Move all terms containing x to the left, all other terms to the right. Add '184' to each side of the equation. -184 + 184 + 135x = 0 + 184 Combine like terms: -184 + 184 = 0 0 + 135x = 0 + 184 135x = 0 + 184 Combine like terms: 0 + 184 = 184 135x = 184 Divide each side by '135'. x = 1.362962963 Simplifying x = 1.362962963Solution
x = {0, 1.362962963}
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