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Simplifying 8x2 + -2xy * -3y2 = 0 Reorder the terms for easier multiplication: 8x2 + -2 * -3xy * y2 = 0 Multiply -2 * -3 8x2 + 6xy * y2 = 0 Multiply xy * y2 8x2 + 6xy3 = 0 Reorder the terms: 6xy3 + 8x2 = 0 Solving 6xy3 + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3y3 + 4x) = 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 '(3y3 + 4x)' equal to zero and attempt to solve: Simplifying 3y3 + 4x = 0 Reorder the terms: 4x + 3y3 = 0 Solving 4x + 3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y3' to each side of the equation. 4x + 3y3 + -3y3 = 0 + -3y3 Combine like terms: 3y3 + -3y3 = 0 4x + 0 = 0 + -3y3 4x = 0 + -3y3 Remove the zero: 4x = -3y3 Divide each side by '4'. x = -0.75y3 Simplifying x = -0.75y3Solution
x = {0, -0.75y3}
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