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Simplifying 9x2 + 15x3y + -6x2y2 = 0 Reorder the terms: 9x2 + -6x2y2 + 15x3y = 0 Solving 9x2 + -6x2y2 + 15x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(3 + -2y2 + 5xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + -2y2 + 5xy)' equal to zero and attempt to solve: Simplifying 3 + -2y2 + 5xy = 0 Reorder the terms: 3 + 5xy + -2y2 = 0 Solving 3 + 5xy + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5xy + -3 + -2y2 = 0 + -3 Reorder the terms: 3 + -3 + 5xy + -2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5xy + -2y2 = 0 + -3 5xy + -2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 5xy + -2y2 = -3 Add '2y2' to each side of the equation. 5xy + -2y2 + 2y2 = -3 + 2y2 Combine like terms: -2y2 + 2y2 = 0 5xy + 0 = -3 + 2y2 5xy = -3 + 2y2 Divide each side by '5y'. x = -0.6y-1 + 0.4y Simplifying x = -0.6y-1 + 0.4ySolution
x = {0, -0.6y-1 + 0.4y}
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