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Simplifying 12xy + -10x2 = 0 Solving 12xy + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(6y + -5x) = 0 Ignore the factor 2.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 '(6y + -5x)' equal to zero and attempt to solve: Simplifying 6y + -5x = 0 Reorder the terms: -5x + 6y = 0 Solving -5x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -5x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -5x + 0 = 0 + -6y -5x = 0 + -6y Remove the zero: -5x = -6y Divide each side by '-5'. x = 1.2y Simplifying x = 1.2ySolution
x = {0, 1.2y}
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