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Simplifying 6x2y3 + -12xy3 + 6y3 = 0 Reorder the terms: -12xy3 + 6x2y3 + 6y3 = 0 Solving -12xy3 + 6x2y3 + 6y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6y3'. 6y3(-2x + x2 + 1) = 0 Factor a trinomial. 6y3((x + -1)(x + -1)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. y3 + -1y3 = 0 + -1y3 Remove the zero: 0 = -1y3 Simplifying 0 = -1y3 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 '(x + -1)' equal to zero and attempt to solve: Simplifying x + -1 = 0 Reorder the terms: -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 3
Set the factor '(x + -1)' equal to zero and attempt to solve: Simplifying x + -1 = 0 Reorder the terms: -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {1, 1}
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