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Simplifying 6x2 + 12xy + -5yx = 0 Reorder the terms: 12xy + -5xy + 6x2 = 0 Combine like terms: 12xy + -5xy = 7xy 7xy + 6x2 = 0 Solving 7xy + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7y + 6x) = 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 '(7y + 6x)' equal to zero and attempt to solve: Simplifying 7y + 6x = 0 Reorder the terms: 6x + 7y = 0 Solving 6x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 6x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 6x + 0 = 0 + -7y 6x = 0 + -7y Remove the zero: 6x = -7y Divide each side by '6'. x = -1.166666667y Simplifying x = -1.166666667ySolution
x = {0, -1.166666667y}
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