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Simplifying (y3 * x4) * dx = x4 * dy + -5y3 * dx Multiply y3 * x4 (x4y3) * dx = x4 * dy + -5y3 * dx Multiply x4y3 * dx dx5y3 = x4 * dy + -5y3 * dx Multiply x4 * dy dx5y3 = dx4y + -5y3 * dx Multiply y3 * dx dx5y3 = dx4y + -5dxy3 Reorder the terms: dx5y3 = -5dxy3 + dx4y Solving dx5y3 = -5dxy3 + dx4y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5dxy3' to each side of the equation. 5dxy3 + dx5y3 = -5dxy3 + 5dxy3 + dx4y Combine like terms: -5dxy3 + 5dxy3 = 0 5dxy3 + dx5y3 = 0 + dx4y 5dxy3 + dx5y3 = dx4y Add '-1dx4y' to each side of the equation. 5dxy3 + -1dx4y + dx5y3 = dx4y + -1dx4y Combine like terms: dx4y + -1dx4y = 0 5dxy3 + -1dx4y + dx5y3 = 0 Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(5y2 + -1x3 + x4y2) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(5y2 + -1x3 + x4y2)' equal to zero and attempt to solve: Simplifying 5y2 + -1x3 + x4y2 = 0 Reorder the terms: -1x3 + x4y2 + 5y2 = 0 Solving -1x3 + x4y2 + 5y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x3' to each side of the equation. -1x3 + x4y2 + x3 + 5y2 = 0 + x3 Reorder the terms: -1x3 + x3 + x4y2 + 5y2 = 0 + x3 Combine like terms: -1x3 + x3 = 0 0 + x4y2 + 5y2 = 0 + x3 x4y2 + 5y2 = 0 + x3 Remove the zero: x4y2 + 5y2 = x3 Add '-1x4y2' to each side of the equation. x4y2 + -1x4y2 + 5y2 = x3 + -1x4y2 Combine like terms: x4y2 + -1x4y2 = 0 0 + 5y2 = x3 + -1x4y2 5y2 = x3 + -1x4y2 Add '-5y2' to each side of the equation. 5y2 + -5y2 = x3 + -1x4y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 0 = x3 + -1x4y2 + -5y2 Simplifying 0 = x3 + -1x4y2 + -5y2 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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