2a^2+11=6a^2+3

Solution for 2a^2+11=6a^2+3 equation:

Simplifying
2a2 + 11 = 6a2 + 3

Reorder the terms:
11 + 2a2 = 6a2 + 3

Reorder the terms:
11 + 2a2 = 3 + 6a2

Solving
11 + 2a2 = 3 + 6a2

Solving for variable 'a'.

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

Add '-6a2' to each side of the equation.
11 + 2a2 + -6a2 = 3 + 6a2 + -6a2

Combine like terms: 2a2 + -6a2 = -4a2
11 + -4a2 = 3 + 6a2 + -6a2

Combine like terms: 6a2 + -6a2 = 0
11 + -4a2 = 3 + 0
11 + -4a2 = 3

Add '-11' to each side of the equation.
11 + -11 + -4a2 = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -4a2 = 3 + -11
-4a2 = 3 + -11

Combine like terms: 3 + -11 = -8
-4a2 = -8

Divide each side by '-4'.
a2 = 2

Simplifying
a2 = 2

Take the square root of each side:
a = {-1.414213562, 1.414213562}