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Simplifying 5x2 + 3x + -6xy = 0 Reorder the terms: 3x + -6xy + 5x2 = 0 Solving 3x + -6xy + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -6y + 5x) = 0Subproblem 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 '(3 + -6y + 5x)' equal to zero and attempt to solve: Simplifying 3 + -6y + 5x = 0 Reorder the terms: 3 + 5x + -6y = 0 Solving 3 + 5x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5x + -3 + -6y = 0 + -3 Reorder the terms: 3 + -3 + 5x + -6y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x + -6y = 0 + -3 5x + -6y = 0 + -3 Combine like terms: 0 + -3 = -3 5x + -6y = -3 Add '6y' to each side of the equation. 5x + -6y + 6y = -3 + 6y Combine like terms: -6y + 6y = 0 5x + 0 = -3 + 6y 5x = -3 + 6y Divide each side by '5'. x = -0.6 + 1.2y Simplifying x = -0.6 + 1.2ySolution
x = {0, -0.6 + 1.2y}
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