17m^2=5(m^2+20)+8

Solution for 17m^2=5(m^2+20)+8 equation:

Simplifying
17m2 = 5(m2 + 20) + 8

Reorder the terms:
17m2 = 5(20 + m2) + 8
17m2 = (20 * 5 + m2 * 5) + 8
17m2 = (100 + 5m2) + 8

Reorder the terms:
17m2 = 100 + 8 + 5m2

Combine like terms: 100 + 8 = 108
17m2 = 108 + 5m2

Solving
17m2 = 108 + 5m2

Solving for variable 'm'.

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

Add '-5m2' to each side of the equation.
17m2 + -5m2 = 108 + 5m2 + -5m2

Combine like terms: 17m2 + -5m2 = 12m2
12m2 = 108 + 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
12m2 = 108 + 0
12m2 = 108

Divide each side by '12'.
m2 = 9

Simplifying
m2 = 9

Take the square root of each side:
m = {-3, 3}