441u^2+42u+1=0

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Solution for 441u^2+42u+1=0 equation:


Simplifying
441u2 + 42u + 1 = 0

Reorder the terms:
1 + 42u + 441u2 = 0

Solving
1 + 42u + 441u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + 21u)(1 + 21u) = 0

Subproblem 1

Set the factor '(1 + 21u)' equal to zero and attempt to solve: Simplifying 1 + 21u = 0 Solving 1 + 21u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 21u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 21u = 0 + -1 21u = 0 + -1 Combine like terms: 0 + -1 = -1 21u = -1 Divide each side by '21'. u = -0.04761904762 Simplifying u = -0.04761904762

Subproblem 2

Set the factor '(1 + 21u)' equal to zero and attempt to solve: Simplifying 1 + 21u = 0 Solving 1 + 21u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 21u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 21u = 0 + -1 21u = 0 + -1 Combine like terms: 0 + -1 = -1 21u = -1 Divide each side by '21'. u = -0.04761904762 Simplifying u = -0.04761904762

Solution

u = {-0.04761904762, -0.04761904762}

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