N(N-3)=700

Solution for N(N-3)=700 equation:

Simplifying
N(N + -3) = 700

Reorder the terms:
N(-3 + N) = 700
(-3 * N + N * N) = 700
(-3N + N2) = 700

Solving
-3N + N2 = 700

Solving for variable 'N'.

Reorder the terms:
-700 + -3N + N2 = 700 + -700

Combine like terms: 700 + -700 = 0
-700 + -3N + N2 = 0

Factor a trinomial.
(-25 + -1N)(28 + -1N) = 0

Subproblem 1
Set the factor '(-25 + -1N)' equal to zero and attempt to solve:

Simplifying
-25 + -1N = 0

Solving
-25 + -1N = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1N = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1N = 0 + 25
-1N = 0 + 25

Combine like terms: 0 + 25 = 25
-1N = 25

Divide each side by '-1'.
N = -25

Simplifying
N = -25
Subproblem 2
Set the factor '(28 + -1N)' equal to zero and attempt to solve:

Simplifying
28 + -1N = 0

Solving
28 + -1N = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1N = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1N = 0 + -28
-1N = 0 + -28

Combine like terms: 0 + -28 = -28
-1N = -28

Divide each side by '-1'.
N = 28

Simplifying
N = 28
Solution
N = {-25, 28}