9n^2-70n+49=0

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Solution for 9n^2-70n+49=0 equation: 


Simplifying
9n2 + -70n + 49 = 0

Reorder the terms:
49 + -70n + 9n2 = 0

Solving
49 + -70n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + -9n)(7 + -1n) = 0


Subproblem 1
Set the factor '(7 + -9n)' equal to zero and attempt to solve:

Simplifying
7 + -9n = 0

Solving
7 + -9n = 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 + -9n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9n = 0 + -7
-9n = 0 + -7

Combine like terms: 0 + -7 = -7
-9n = -7

Divide each side by '-9'.
n = 0.7777777778

Simplifying
n = 0.7777777778

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

Simplifying
7 + -1n = 0

Solving
7 + -1n = 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 + -1n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1n = 0 + -7
-1n = 0 + -7

Combine like terms: 0 + -7 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7
Solution
n = {0.7777777778, 7}

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