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Simplifying 6xy * dx + (4y + -9x2) * dy = 0 Multiply xy * dx 6dx2y + (4y + -9x2) * dy = 0 Reorder the terms: 6dx2y + (-9x2 + 4y) * dy = 0 Reorder the terms for easier multiplication: 6dx2y + dy(-9x2 + 4y) = 0 6dx2y + (-9x2 * dy + 4y * dy) = 0 6dx2y + (-9dx2y + 4dy2) = 0 Combine like terms: 6dx2y + -9dx2y = -3dx2y -3dx2y + 4dy2 = 0 Solving -3dx2y + 4dy2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dy'. dy(-3x2 + 4y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-3x2 + 4y)' equal to zero and attempt to solve: Simplifying -3x2 + 4y = 0 Solving -3x2 + 4y = 0 Move all terms containing d to the left, all other terms to the right. Add '3x2' to each side of the equation. -3x2 + 3x2 + 4y = 0 + 3x2 Combine like terms: -3x2 + 3x2 = 0 0 + 4y = 0 + 3x2 4y = 0 + 3x2 Remove the zero: 4y = 3x2 Add '-4y' to each side of the equation. 4y + -4y = 3x2 + -4y Combine like terms: 4y + -4y = 0 0 = 3x2 + -4y Simplifying 0 = 3x2 + -4y 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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