25u^2-20u+4=0

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Solution for 25u^2-20u+4=0 equation:


Simplifying
25u2 + -20u + 4 = 0

Reorder the terms:
4 + -20u + 25u2 = 0

Solving
4 + -20u + 25u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + -5u)(2 + -5u) = 0

Subproblem 1

Set the factor '(2 + -5u)' equal to zero and attempt to solve: Simplifying 2 + -5u = 0 Solving 2 + -5u = 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 + -5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5u = 0 + -2 -5u = 0 + -2 Combine like terms: 0 + -2 = -2 -5u = -2 Divide each side by '-5'. u = 0.4 Simplifying u = 0.4

Subproblem 2

Set the factor '(2 + -5u)' equal to zero and attempt to solve: Simplifying 2 + -5u = 0 Solving 2 + -5u = 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 + -5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5u = 0 + -2 -5u = 0 + -2 Combine like terms: 0 + -2 = -2 -5u = -2 Divide each side by '-5'. u = 0.4 Simplifying u = 0.4

Solution

u = {0.4, 0.4}

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