16n^2-56n+49=

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Solution for 16n^2-56n+49= equation: 


Simplifying
16n2 + -56n + 49 = 0

Reorder the terms:
49 + -56n + 16n2 = 0

Solving
49 + -56n + 16n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + -4n)(7 + -4n) = 0


Subproblem 1
Set the factor '(7 + -4n)' equal to zero and attempt to solve:

Simplifying
7 + -4n = 0

Solving
7 + -4n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4n = 0 + -7
-4n = 0 + -7

Combine like terms: 0 + -7 = -7
-4n = -7

Divide each side by '-4'.
n = 1.75

Simplifying
n = 1.75

Subproblem 2
Set the factor '(7 + -4n)' equal to zero and attempt to solve:

Simplifying
7 + -4n = 0

Solving
7 + -4n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4n = 0 + -7
-4n = 0 + -7

Combine like terms: 0 + -7 = -7
-4n = -7

Divide each side by '-4'.
n = 1.75

Simplifying
n = 1.75
Solution
n = {1.75, 1.75}

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