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Simplifying y4 + 7xy2 + -60x2 = 0 Reorder the terms: 7xy2 + -60x2 + y4 = 0 Solving 7xy2 + -60x2 + y4 = 0 Solving for variable 'x'. Factor a trinomial. (-12x + -1y2)(5x + -1y2) = 0Subproblem 1
Set the factor '(-12x + -1y2)' equal to zero and attempt to solve: Simplifying -12x + -1y2 = 0 Solving -12x + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. -12x + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 -12x + 0 = 0 + y2 -12x = 0 + y2 Remove the zero: -12x = y2 Divide each side by '-12'. x = -0.08333333333y2 Simplifying x = -0.08333333333y2Subproblem 2
Set the factor '(5x + -1y2)' equal to zero and attempt to solve: Simplifying 5x + -1y2 = 0 Solving 5x + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. 5x + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 5x + 0 = 0 + y2 5x = 0 + y2 Remove the zero: 5x = y2 Divide each side by '5'. x = 0.2y2 Simplifying x = 0.2y2Solution
x = {-0.08333333333y2, 0.2y2}
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