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Simplifying 6x2 + 15xy = 0 Reorder the terms: 15xy + 6x2 = 0 Solving 15xy + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(5y + 2x) = 0 Ignore the factor 3.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 '(5y + 2x)' equal to zero and attempt to solve: Simplifying 5y + 2x = 0 Reorder the terms: 2x + 5y = 0 Solving 2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 0 + -5y 2x = 0 + -5y Remove the zero: 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5ySolution
x = {0, -2.5y}
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