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Simplifying 30y4 + -97xy2 + 60x2 = 0 Reorder the terms: -97xy2 + 60x2 + 30y4 = 0 Solving -97xy2 + 60x2 + 30y4 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -6y2)(12x + -5y2) = 0Subproblem 1
Set the factor '(5x + -6y2)' equal to zero and attempt to solve: Simplifying 5x + -6y2 = 0 Solving 5x + -6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '6y2' to each side of the equation. 5x + -6y2 + 6y2 = 0 + 6y2 Combine like terms: -6y2 + 6y2 = 0 5x + 0 = 0 + 6y2 5x = 0 + 6y2 Remove the zero: 5x = 6y2 Divide each side by '5'. x = 1.2y2 Simplifying x = 1.2y2Subproblem 2
Set the factor '(12x + -5y2)' equal to zero and attempt to solve: Simplifying 12x + -5y2 = 0 Solving 12x + -5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5y2' to each side of the equation. 12x + -5y2 + 5y2 = 0 + 5y2 Combine like terms: -5y2 + 5y2 = 0 12x + 0 = 0 + 5y2 12x = 0 + 5y2 Remove the zero: 12x = 5y2 Divide each side by '12'. x = 0.4166666667y2 Simplifying x = 0.4166666667y2Solution
x = {1.2y2, 0.4166666667y2}
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