10u^2-5u^3x^2=0

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Solution for 10u^2-5u^3x^2=0 equation:


Simplifying
10u2 + -5u3x2 = 0

Solving
10u2 + -5u3x2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u2'.
5u2(2 + -1ux2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}

Subproblem 2

Set the factor '(2 + -1ux2)' equal to zero and attempt to solve: Simplifying 2 + -1ux2 = 0 Solving 2 + -1ux2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1ux2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ux2 = 0 + -2 -1ux2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1ux2 = -2 Divide each side by '-1x2'. u = 2x-2 Simplifying u = 2x-2

Solution

u = {0, 2x-2}

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