12u^7v^8-28u^5v^2x^4=0

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Solution for 12u^7v^8-28u^5v^2x^4=0 equation:


Simplifying
12u7v8 + -28u5v2x4 = 0

Reorder the terms:
-28u5v2x4 + 12u7v8 = 0

Solving
-28u5v2x4 + 12u7v8 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u5v2'.
4u5v2(-7x4 + 3u2v6) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'u5v2' equal to zero and attempt to solve: Simplifying u5v2 = 0 Solving u5v2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u5v2 = 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 '(-7x4 + 3u2v6)' equal to zero and attempt to solve: Simplifying -7x4 + 3u2v6 = 0 Reorder the terms: 3u2v6 + -7x4 = 0 Solving 3u2v6 + -7x4 = 0 Move all terms containing u to the left, all other terms to the right. Add '7x4' to each side of the equation. 3u2v6 + -7x4 + 7x4 = 0 + 7x4 Combine like terms: -7x4 + 7x4 = 0 3u2v6 + 0 = 0 + 7x4 3u2v6 = 0 + 7x4 Remove the zero: 3u2v6 = 7x4 Divide each side by '3v6'. u2 = 2.333333333v-6x4 Simplifying u2 = 2.333333333v-6x4 Take the square root of each side: u = {-1.527525232v-3x2, 1.527525232v-3x2}

Solution

u = {-1.527525232v-3x2, 1.527525232v-3x2}

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