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Simplifying y4x2 + 3y2x + -18 = 0 Reorder the terms: -18 + 3xy2 + x2y4 = 0 Solving -18 + 3xy2 + x2y4 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1xy2)(3 + -1xy2) = 0Subproblem 1
Set the factor '(-6 + -1xy2)' equal to zero and attempt to solve: Simplifying -6 + -1xy2 = 0 Solving -6 + -1xy2 = 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 + -1xy2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1xy2 = 0 + 6 -1xy2 = 0 + 6 Combine like terms: 0 + 6 = 6 -1xy2 = 6 Divide each side by '-1y2'. x = -6y-2 Simplifying x = -6y-2Subproblem 2
Set the factor '(3 + -1xy2)' equal to zero and attempt to solve: Simplifying 3 + -1xy2 = 0 Solving 3 + -1xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1xy2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1xy2 = 0 + -3 -1xy2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1xy2 = -3 Divide each side by '-1y2'. x = 3y-2 Simplifying x = 3y-2Solution
x = {-6y-2, 3y-2}
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