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Simplifying (4xy) * dx + (4y + 6x2) * dy = 0 Remove parenthesis around (4xy) 4xy * dx + (4y + 6x2) * dy = 0 Multiply xy * dx 4dx2y + (4y + 6x2) * dy = 0 Reorder the terms: 4dx2y + (6x2 + 4y) * dy = 0 Reorder the terms for easier multiplication: 4dx2y + dy(6x2 + 4y) = 0 4dx2y + (6x2 * dy + 4y * dy) = 0 4dx2y + (6dx2y + 4dy2) = 0 Combine like terms: 4dx2y + 6dx2y = 10dx2y 10dx2y + 4dy2 = 0 Solving 10dx2y + 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), '2dy'. 2dy(5x2 + 2y) = 0 Ignore the factor 2.Subproblem 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 '(5x2 + 2y)' equal to zero and attempt to solve: Simplifying 5x2 + 2y = 0 Solving 5x2 + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x2' to each side of the equation. 5x2 + -5x2 + 2y = 0 + -5x2 Combine like terms: 5x2 + -5x2 = 0 0 + 2y = 0 + -5x2 2y = 0 + -5x2 Remove the zero: 2y = -5x2 Add '-2y' to each side of the equation. 2y + -2y = -5x2 + -2y Combine like terms: 2y + -2y = 0 0 = -5x2 + -2y Simplifying 0 = -5x2 + -2y 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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