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Simplifying 6x2 + 10xy + -4x2 = 0 Reorder the terms: 10xy + 6x2 + -4x2 = 0 Combine like terms: 6x2 + -4x2 = 2x2 10xy + 2x2 = 0 Solving 10xy + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5y + x) = 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 '(5y + x)' equal to zero and attempt to solve: Simplifying 5y + x = 0 Reorder the terms: x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySolution
x = {0, -5y}
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