49u^2+28u+4=0

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Solution for 49u^2+28u+4=0 equation:


Simplifying
49u2 + 28u + 4 = 0

Reorder the terms:
4 + 28u + 49u2 = 0

Solving
4 + 28u + 49u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2 + 7u)(2 + 7u) = 0

Subproblem 1

Set the factor '(2 + 7u)' equal to zero and attempt to solve: Simplifying 2 + 7u = 0 Solving 2 + 7u = 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 + 7u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7u = 0 + -2 7u = 0 + -2 Combine like terms: 0 + -2 = -2 7u = -2 Divide each side by '7'. u = -0.2857142857 Simplifying u = -0.2857142857

Subproblem 2

Set the factor '(2 + 7u)' equal to zero and attempt to solve: Simplifying 2 + 7u = 0 Solving 2 + 7u = 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 + 7u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7u = 0 + -2 7u = 0 + -2 Combine like terms: 0 + -2 = -2 7u = -2 Divide each side by '7'. u = -0.2857142857 Simplifying u = -0.2857142857

Solution

u = {-0.2857142857, -0.2857142857}

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