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Simplifying 100(x4) * y + -108(x2)(y3) + -30(x3)(y2) = 0 Multiply x4 * y 100x4y + -108(x2)(y3) + -30(x3)(y2) = 0 Multiply x2 * y3 100x4y + -108x2y3 + -30(x3)(y2) = 0 Multiply x3 * y2 100x4y + -108x2y3 + -30x3y2 = 0 Reorder the terms: -108x2y3 + -30x3y2 + 100x4y = 0 Solving -108x2y3 + -30x3y2 + 100x4y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y'. 2x2y(-54y2 + -15xy + 50x2) = 0 Factor a trinomial. 2x2y((-9y + -10x)(6y + -5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9y + -10x)' equal to zero and attempt to solve: Simplifying -9y + -10x = 0 Reorder the terms: -10x + -9y = 0 Solving -10x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. -10x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 -10x + 0 = 0 + 9y -10x = 0 + 9y Remove the zero: -10x = 9y Divide each side by '-10'. x = -0.9y Simplifying x = -0.9ySubproblem 3
Set the factor '(6y + -5x)' equal to zero and attempt to solve: Simplifying 6y + -5x = 0 Reorder the terms: -5x + 6y = 0 Solving -5x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -5x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -5x + 0 = 0 + -6y -5x = 0 + -6y Remove the zero: -5x = -6y Divide each side by '-5'. x = 1.2y Simplifying x = 1.2ySolution
x = {-0.9y, 1.2y}
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