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Simplifying 128x2 + 96xy * 18y2 = 0 Reorder the terms for easier multiplication: 128x2 + 96 * 18xy * y2 = 0 Multiply 96 * 18 128x2 + 1728xy * y2 = 0 Multiply xy * y2 128x2 + 1728xy3 = 0 Reorder the terms: 1728xy3 + 128x2 = 0 Solving 1728xy3 + 128x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '64x'. 64x(27y3 + 2x) = 0 Ignore the factor 64.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 '(27y3 + 2x)' equal to zero and attempt to solve: Simplifying 27y3 + 2x = 0 Reorder the terms: 2x + 27y3 = 0 Solving 2x + 27y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27y3' to each side of the equation. 2x + 27y3 + -27y3 = 0 + -27y3 Combine like terms: 27y3 + -27y3 = 0 2x + 0 = 0 + -27y3 2x = 0 + -27y3 Remove the zero: 2x = -27y3 Divide each side by '2'. x = -13.5y3 Simplifying x = -13.5y3Solution
x = {0, -13.5y3}
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