5n^2-7n+4=2

Solution for 5n^2-7n+4=2 equation:

Simplifying
5n2 + -7n + 4 = 2

Reorder the terms:
4 + -7n + 5n2 = 2

Solving
4 + -7n + 5n2 = 2

Solving for variable 'n'.

Reorder the terms:
4 + -2 + -7n + 5n2 = 2 + -2

Combine like terms: 4 + -2 = 2
2 + -7n + 5n2 = 2 + -2

Combine like terms: 2 + -2 = 0
2 + -7n + 5n2 = 0

Factor a trinomial.
(2 + -5n)(1 + -1n) = 0

Subproblem 1
Set the factor '(2 + -5n)' equal to zero and attempt to solve:

Simplifying
2 + -5n = 0

Solving
2 + -5n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 0 + -2
-5n = 0 + -2

Combine like terms: 0 + -2 = -2
-5n = -2

Divide each side by '-5'.
n = 0.4

Simplifying
n = 0.4
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

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

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

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

Simplifying
n = 1
Solution
n = {0.4, 1}