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Simplifying 12x4y3 + 24x3y5 + -6x3y6 = 0 Reorder the terms: 24x3y5 + -6x3y6 + 12x4y3 = 0 Solving 24x3y5 + -6x3y6 + 12x4y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x3y3'. 6x3y3(4y2 + -1y3 + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x3y3' equal to zero and attempt to solve: Simplifying x3y3 = 0 Solving x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y3 = 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 '(4y2 + -1y3 + 2x)' equal to zero and attempt to solve: Simplifying 4y2 + -1y3 + 2x = 0 Reorder the terms: 2x + 4y2 + -1y3 = 0 Solving 2x + 4y2 + -1y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 2x + 4y2 + -4y2 + -1y3 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x + 0 + -1y3 = 0 + -4y2 2x + -1y3 = 0 + -4y2 Remove the zero: 2x + -1y3 = -4y2 Add 'y3' to each side of the equation. 2x + -1y3 + y3 = -4y2 + y3 Combine like terms: -1y3 + y3 = 0 2x + 0 = -4y2 + y3 2x = -4y2 + y3 Divide each side by '2'. x = -2y2 + 0.5y3 Simplifying x = -2y2 + 0.5y3Solution
x = {-2y2 + 0.5y3}
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