n^2+3n-25=3

Solution for n^2+3n-25=3 equation:

Simplifying
n2 + 3n + -25 = 3

Reorder the terms:
-25 + 3n + n2 = 3

Solving
-25 + 3n + n2 = 3

Solving for variable 'n'.

Reorder the terms:
-25 + -3 + 3n + n2 = 3 + -3

Combine like terms: -25 + -3 = -28
-28 + 3n + n2 = 3 + -3

Combine like terms: 3 + -3 = 0
-28 + 3n + n2 = 0

Factor a trinomial.
(-7 + -1n)(4 + -1n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4
Solution
n = {-7, 4}