2q^2+6q^2-10=0

Solution for 2q^2+6q^2-10=0 equation:

Simplifying
2q2 + 6q2 + -10 = 0

Reorder the terms:
-10 + 2q2 + 6q2 = 0

Combine like terms: 2q2 + 6q2 = 8q2
-10 + 8q2 = 0

Solving
-10 + 8q2 = 0

Solving for variable 'q'.

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

Add '10' to each side of the equation.
-10 + 10 + 8q2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 8q2 = 0 + 10
8q2 = 0 + 10

Combine like terms: 0 + 10 = 10
8q2 = 10

Divide each side by '8'.
q2 = 1.25

Simplifying
q2 = 1.25

Take the square root of each side:
q = {-1.118033989, 1.118033989}