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Simplifying -90x2 + -80x2y2 + -20x3y = 0 Solving -90x2 + -80x2y2 + -20x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-10x2'. -10x2(9 + 8y2 + 2xy) = 0 Ignore the factor -10.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 '(9 + 8y2 + 2xy)' equal to zero and attempt to solve: Simplifying 9 + 8y2 + 2xy = 0 Reorder the terms: 9 + 2xy + 8y2 = 0 Solving 9 + 2xy + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2xy + -9 + 8y2 = 0 + -9 Reorder the terms: 9 + -9 + 2xy + 8y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2xy + 8y2 = 0 + -9 2xy + 8y2 = 0 + -9 Combine like terms: 0 + -9 = -9 2xy + 8y2 = -9 Add '-8y2' to each side of the equation. 2xy + 8y2 + -8y2 = -9 + -8y2 Combine like terms: 8y2 + -8y2 = 0 2xy + 0 = -9 + -8y2 2xy = -9 + -8y2 Divide each side by '2y'. x = -4.5y-1 + -4y Simplifying x = -4.5y-1 + -4ySolution
x = {0, -4.5y-1 + -4y}
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