4u(2u-5)(2u-5)(5u-1)=0

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Solution for 4u(2u-5)(2u-5)(5u-1)=0 equation: 


Simplifying
4u(2u + -5)(2u + -5)(5u + -1) = 0

Reorder the terms:
4u(-5 + 2u)(2u + -5)(5u + -1) = 0

Reorder the terms:
4u(-5 + 2u)(-5 + 2u)(5u + -1) = 0

Reorder the terms:
4u(-5 + 2u)(-5 + 2u)(-1 + 5u) = 0

Multiply (-5 + 2u) * (-5 + 2u)
4u(-5(-5 + 2u) + 2u * (-5 + 2u))(-1 + 5u) = 0
4u((-5 * -5 + 2u * -5) + 2u * (-5 + 2u))(-1 + 5u) = 0
4u((25 + -10u) + 2u * (-5 + 2u))(-1 + 5u) = 0
4u(25 + -10u + (-5 * 2u + 2u * 2u))(-1 + 5u) = 0
4u(25 + -10u + (-10u + 4u2))(-1 + 5u) = 0

Combine like terms: -10u + -10u = -20u
4u(25 + -20u + 4u2)(-1 + 5u) = 0

Multiply (25 + -20u + 4u2) * (-1 + 5u)
4u(25(-1 + 5u) + -20u * (-1 + 5u) + 4u2 * (-1 + 5u)) = 0
4u((-1 * 25 + 5u * 25) + -20u * (-1 + 5u) + 4u2 * (-1 + 5u)) = 0
4u((-25 + 125u) + -20u * (-1 + 5u) + 4u2 * (-1 + 5u)) = 0
4u(-25 + 125u + (-1 * -20u + 5u * -20u) + 4u2 * (-1 + 5u)) = 0
4u(-25 + 125u + (20u + -100u2) + 4u2 * (-1 + 5u)) = 0
4u(-25 + 125u + 20u + -100u2 + (-1 * 4u2 + 5u * 4u2)) = 0
4u(-25 + 125u + 20u + -100u2 + (-4u2 + 20u3)) = 0

Combine like terms: 125u + 20u = 145u
4u(-25 + 145u + -100u2 + -4u2 + 20u3) = 0

Combine like terms: -100u2 + -4u2 = -104u2
4u(-25 + 145u + -104u2 + 20u3) = 0
(-25 * 4u + 145u * 4u + -104u2 * 4u + 20u3 * 4u) = 0
(-100u + 580u2 + -416u3 + 80u4) = 0

Solving
-100u + 580u2 + -416u3 + 80u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u'.
4u(-25 + 145u + -104u2 + 20u3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

Move all terms containing u to the left, all other terms to the right.

Simplifying
u = 0

Subproblem 2
Set the factor '(-25 + 145u + -104u2 + 20u3)' equal to zero and attempt to solve:

Simplifying
-25 + 145u + -104u2 + 20u3 = 0

Solving
-25 + 145u + -104u2 + 20u3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}

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