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Simplifying 5xy(2x + -1y) + 6y2(x2 + 6) = 0 (2x * 5xy + -1y * 5xy) + 6y2(x2 + 6) = 0 Reorder the terms: (-5xy2 + 10x2y) + 6y2(x2 + 6) = 0 (-5xy2 + 10x2y) + 6y2(x2 + 6) = 0 Reorder the terms: -5xy2 + 10x2y + 6y2(6 + x2) = 0 -5xy2 + 10x2y + (6 * 6y2 + x2 * 6y2) = 0 Reorder the terms: -5xy2 + 10x2y + (6x2y2 + 36y2) = 0 -5xy2 + 10x2y + (6x2y2 + 36y2) = 0 Solving -5xy2 + 10x2y + 6x2y2 + 36y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(-5xy + 10x2 + 6x2y + 36y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-5xy + 10x2 + 6x2y + 36y)' equal to zero and attempt to solve: Simplifying -5xy + 10x2 + 6x2y + 36y = 0 Solving -5xy + 10x2 + 6x2y + 36y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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