12u*x^2*y^3+18*u^4*x^8=0

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Solution for 12u*x^2*y^3+18*u^4*x^8=0 equation:


Simplifying
12u * x2 * y3 + 18u4 * x8 = 0

Multiply u * x2
12ux2 * y3 + 18u4 * x8 = 0

Multiply ux2 * y3
12ux2y3 + 18u4 * x8 = 0

Multiply u4 * x8
12ux2y3 + 18u4x8 = 0

Solving
12ux2y3 + 18u4x8 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6ux2'.
6ux2(2y3 + 3u3x6) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'ux2' equal to zero and attempt to solve: Simplifying ux2 = 0 Solving ux2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying ux2 = 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 '(2y3 + 3u3x6)' equal to zero and attempt to solve: Simplifying 2y3 + 3u3x6 = 0 Reorder the terms: 3u3x6 + 2y3 = 0 Solving 3u3x6 + 2y3 = 0 Move all terms containing u to the left, all other terms to the right. Add '-2y3' to each side of the equation. 3u3x6 + 2y3 + -2y3 = 0 + -2y3 Combine like terms: 2y3 + -2y3 = 0 3u3x6 + 0 = 0 + -2y3 3u3x6 = 0 + -2y3 Remove the zero: 3u3x6 = -2y3 Divide each side by '3x6'. u3 = -0.6666666667x-6y3 Simplifying u3 = -0.6666666667x-6y3 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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