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Simplifying 27x2 + 12xy = 0 Reorder the terms: 12xy + 27x2 = 0 Solving 12xy + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(4y + 9x) = 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 '(4y + 9x)' equal to zero and attempt to solve: Simplifying 4y + 9x = 0 Reorder the terms: 9x + 4y = 0 Solving 9x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 9x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 9x + 0 = 0 + -4y 9x = 0 + -4y Remove the zero: 9x = -4y Divide each side by '9'. x = -0.4444444444y Simplifying x = -0.4444444444ySolution
x = {0, -0.4444444444y}
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