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Simplifying udx + (1 + -3u) * x * du = 3u * du Reorder the terms for easier multiplication: dux + x * du(1 + -3u) = 3u * du Multiply x * du dux + dux(1 + -3u) = 3u * du dux + (1 * dux + -3u * dux) = 3u * du dux + (1dux + -3du2x) = 3u * du Combine like terms: dux + 1dux = 2dux 2dux + -3du2x = 3u * du Multiply u * du 2dux + -3du2x = 3du2 Solving 2dux + -3du2x = 3du2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3du2' to each side of the equation. 2dux + -3du2 + -3du2x = 3du2 + -3du2 Combine like terms: 3du2 + -3du2 = 0 2dux + -3du2 + -3du2x = 0 Factor out the Greatest Common Factor (GCF), 'du'. du(2x + -3u + -3ux) = 0Subproblem 1
Set the factor 'du' equal to zero and attempt to solve: Simplifying du = 0 Solving du = 0 Move all terms containing d to the left, all other terms to the right. Simplifying du = 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 '(2x + -3u + -3ux)' equal to zero and attempt to solve: Simplifying 2x + -3u + -3ux = 0 Reorder the terms: -3u + -3ux + 2x = 0 Solving -3u + -3ux + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '3u' to each side of the equation. -3u + -3ux + 3u + 2x = 0 + 3u Reorder the terms: -3u + 3u + -3ux + 2x = 0 + 3u Combine like terms: -3u + 3u = 0 0 + -3ux + 2x = 0 + 3u -3ux + 2x = 0 + 3u Remove the zero: -3ux + 2x = 3u Add '3ux' to each side of the equation. -3ux + 3ux + 2x = 3u + 3ux Combine like terms: -3ux + 3ux = 0 0 + 2x = 3u + 3ux 2x = 3u + 3ux Add '-2x' to each side of the equation. 2x + -2x = 3u + 3ux + -2x Combine like terms: 2x + -2x = 0 0 = 3u + 3ux + -2x Simplifying 0 = 3u + 3ux + -2x 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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