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Simplifying 6x4 + 15x3y2 + 3x2y3 = 0 Reorder the terms: 3x2y3 + 15x3y2 + 6x4 = 0 Solving 3x2y3 + 15x3y2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(y3 + 5xy2 + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(y3 + 5xy2 + 2x2)' equal to zero and attempt to solve: Simplifying y3 + 5xy2 + 2x2 = 0 Reorder the terms: 5xy2 + 2x2 + y3 = 0 Solving 5xy2 + 2x2 + y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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