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Simplifying 3x3y4 + 18x2y4 + -6x2y4 + -36xy4 = 0 Reorder the terms: -36xy4 + 18x2y4 + -6x2y4 + 3x3y4 = 0 Combine like terms: 18x2y4 + -6x2y4 = 12x2y4 -36xy4 + 12x2y4 + 3x3y4 = 0 Solving -36xy4 + 12x2y4 + 3x3y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy4'. 3xy4(-12 + 4x + x2) = 0 Factor a trinomial. 3xy4((-6 + -1x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xy4' equal to zero and attempt to solve: Simplifying xy4 = 0 Solving xy4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy4 = 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 '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-6, 2}
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