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Simplifying 3x2 + 18xy2 = 0 Reorder the terms: 18xy2 + 3x2 = 0 Solving 18xy2 + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(6y2 + x) = 0 Ignore the factor 3.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 '(6y2 + x)' equal to zero and attempt to solve: Simplifying 6y2 + x = 0 Reorder the terms: x + 6y2 = 0 Solving x + 6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y2' to each side of the equation. x + 6y2 + -6y2 = 0 + -6y2 Combine like terms: 6y2 + -6y2 = 0 x + 0 = 0 + -6y2 x = 0 + -6y2 Remove the zero: x = -6y2 Simplifying x = -6y2Solution
x = {0, -6y2}
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