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Simplifying 2x2 + 10xy2 + -4xy2 = 0 Reorder the terms: 10xy2 + -4xy2 + 2x2 = 0 Combine like terms: 10xy2 + -4xy2 = 6xy2 6xy2 + 2x2 = 0 Solving 6xy2 + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3y2 + 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 '(3y2 + x)' equal to zero and attempt to solve: Simplifying 3y2 + x = 0 Reorder the terms: x + 3y2 = 0 Solving x + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. x + 3y2 + -3y2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 x + 0 = 0 + -3y2 x = 0 + -3y2 Remove the zero: x = -3y2 Simplifying x = -3y2Solution
x = {0, -3y2}
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