-5(n-3)2=10

Solution for -5(n-3)2=10 equation:

Simplifying
-5(n + -3) * 2 = 10

Reorder the terms:
-5(-3 + n) * 2 = 10

Reorder the terms for easier multiplication:
-5 * 2(-3 + n) = 10

Multiply -5 * 2
-10(-3 + n) = 10
(-3 * -10 + n * -10) = 10
(30 + -10n) = 10

Solving
30 + -10n = 10

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + -10n = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -10n = 10 + -30
-10n = 10 + -30

Combine like terms: 10 + -30 = -20
-10n = -20

Divide each side by '-10'.
n = 2

Simplifying
n = 2