4u^4-20u^4+25u^3=0

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Solution for 4u^4-20u^4+25u^3=0 equation:


Simplifying
4u4 + -20u4 + 25u3 = 0

Reorder the terms:
25u3 + 4u4 + -20u4 = 0

Combine like terms: 4u4 + -20u4 = -16u4
25u3 + -16u4 = 0

Solving
25u3 + -16u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u3'.
u3(25 + -16u) = 0

Subproblem 1

Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 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 '(25 + -16u)' equal to zero and attempt to solve: Simplifying 25 + -16u = 0 Solving 25 + -16u = 0 Move all terms containing u to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -16u = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -16u = 0 + -25 -16u = 0 + -25 Combine like terms: 0 + -25 = -25 -16u = -25 Divide each side by '-16'. u = 1.5625 Simplifying u = 1.5625

Solution

u = {1.5625}

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