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Simplifying 6x2 + -13xy2 + 2y4 = 0 Reorder the terms: -13xy2 + 6x2 + 2y4 = 0 Solving -13xy2 + 6x2 + 2y4 = 0 Solving for variable 'x'. Factor a trinomial. (x + -2y2)(6x + -1y2) = 0Subproblem 1
Set the factor '(x + -2y2)' equal to zero and attempt to solve: Simplifying x + -2y2 = 0 Solving x + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. x + -2y2 + 2y2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 x + 0 = 0 + 2y2 x = 0 + 2y2 Remove the zero: x = 2y2 Simplifying x = 2y2Subproblem 2
Set the factor '(6x + -1y2)' equal to zero and attempt to solve: Simplifying 6x + -1y2 = 0 Solving 6x + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 6x + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 6x + 0 = 0 + y2 6x = 0 + y2 Remove the zero: 6x = y2 Divide each side by '6'. x = 0.1666666667y2 Simplifying x = 0.1666666667y2Solution
x = {2y2, 0.1666666667y2}
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