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Simplifying 36x2 + -11xy2 + -12y4 = 0 Reorder the terms: -11xy2 + 36x2 + -12y4 = 0 Solving -11xy2 + 36x2 + -12y4 = 0 Solving for variable 'x'. Factor a trinomial. (4x + -3y2)(9x + 4y2) = 0Subproblem 1
Set the factor '(4x + -3y2)' equal to zero and attempt to solve: Simplifying 4x + -3y2 = 0 Solving 4x + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. 4x + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 4x + 0 = 0 + 3y2 4x = 0 + 3y2 Remove the zero: 4x = 3y2 Divide each side by '4'. x = 0.75y2 Simplifying x = 0.75y2Subproblem 2
Set the factor '(9x + 4y2)' equal to zero and attempt to solve: Simplifying 9x + 4y2 = 0 Solving 9x + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. 9x + 4y2 + -4y2 = 0 + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x + 0 = 0 + -4y2 9x = 0 + -4y2 Remove the zero: 9x = -4y2 Divide each side by '9'. x = -0.4444444444y2 Simplifying x = -0.4444444444y2Solution
x = {0.75y2, -0.4444444444y2}
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