4f^2+28f+49=0

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


Simplifying
4f2 + 28f + 49 = 0

Reorder the terms:
49 + 28f + 4f2 = 0

Solving
49 + 28f + 4f2 = 0

Solving for variable 'f'.

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


Subproblem 1
Set the factor '(7 + 2f)' equal to zero and attempt to solve:

Simplifying
7 + 2f = 0

Solving
7 + 2f = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2f = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2f = 0 + -7
2f = 0 + -7

Combine like terms: 0 + -7 = -7
2f = -7

Divide each side by '2'.
f = -3.5

Simplifying
f = -3.5

Subproblem 2
Set the factor '(7 + 2f)' equal to zero and attempt to solve:

Simplifying
7 + 2f = 0

Solving
7 + 2f = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2f = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2f = 0 + -7
2f = 0 + -7

Combine like terms: 0 + -7 = -7
2f = -7

Divide each side by '2'.
f = -3.5

Simplifying
f = -3.5
Solution
f = {-3.5, -3.5}

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