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Simplifying (6x2y) * dx + (1 + x2) * dy = 0 Remove parenthesis around (6x2y) 6x2y * dx + (1 + x2) * dy = 0 Multiply x2y * dx 6dx3y + (1 + x2) * dy = 0 Reorder the terms for easier multiplication: 6dx3y + dy(1 + x2) = 0 6dx3y + (1 * dy + x2 * dy) = 0 Reorder the terms: 6dx3y + (dx2y + 1dy) = 0 6dx3y + (dx2y + 1dy) = 0 Reorder the terms: dx2y + 6dx3y + 1dy = 0 Solving dx2y + 6dx3y + 1dy = 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(x2 + 6x3 + 1) = 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 '(x2 + 6x3 + 1)' equal to zero and attempt to solve: Simplifying x2 + 6x3 + 1 = 0 Reorder the terms: 1 + x2 + 6x3 = 0 Solving 1 + x2 + 6x3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x2 + -1 + 6x3 = 0 + -1 Reorder the terms: 1 + -1 + x2 + 6x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 + 6x3 = 0 + -1 x2 + 6x3 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 + 6x3 = -1 Add '-1x2' to each side of the equation. x2 + -1x2 + 6x3 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 6x3 = -1 + -1x2 6x3 = -1 + -1x2 Add '-6x3' to each side of the equation. 6x3 + -6x3 = -1 + -1x2 + -6x3 Combine like terms: 6x3 + -6x3 = 0 0 = -1 + -1x2 + -6x3 Simplifying 0 = -1 + -1x2 + -6x3 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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