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Simplifying -12x5y5 + -32x6y3 = 0 Solving -12x5y5 + -32x6y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x5y3'. -4x5y3(3y2 + 8x) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'x5y3' equal to zero and attempt to solve: Simplifying x5y3 = 0 Solving x5y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3y2 + 8x)' equal to zero and attempt to solve: Simplifying 3y2 + 8x = 0 Reorder the terms: 8x + 3y2 = 0 Solving 8x + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 8x + 3y2 + -3y2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 8x + 0 = 0 + -3y2 8x = 0 + -3y2 Remove the zero: 8x = -3y2 Divide each side by '8'. x = -0.375y2 Simplifying x = -0.375y2Solution
x = {-0.375y2}
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