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Simplifying 4x3 * y(dx) + 5x4 * 6y(dy) = 0 Multiply x3 * y 4x3y * dx + 5x4 * 6y(dy) = 0 Multiply x3y * dx 4dx4y + 5x4 * 6y(dy) = 0 Reorder the terms for easier multiplication: 4dx4y + 5 * 6x4 * y * dy = 0 Multiply 5 * 6 4dx4y + 30x4 * y * dy = 0 Multiply x4 * y 4dx4y + 30x4y * dy = 0 Multiply x4y * dy 4dx4y + 30dx4y2 = 0 Solving 4dx4y + 30dx4y2 = 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), '2dx4y'. 2dx4y(2 + 15y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'dx4y' equal to zero and attempt to solve: Simplifying dx4y = 0 Solving dx4y = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx4y = 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 '(2 + 15y)' equal to zero and attempt to solve: Simplifying 2 + 15y = 0 Solving 2 + 15y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 15y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 15y = 0 + -2 15y = 0 + -2 Combine like terms: 0 + -2 = -2 15y = -2 Add '-15y' to each side of the equation. 15y + -15y = -2 + -15y Combine like terms: 15y + -15y = 0 0 = -2 + -15y Simplifying 0 = -2 + -15y 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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