a^2+3a^2-10=

Solution for a^2+3a^2-10= equation:

Simplifying
a2 + 3a2 + -10 = 0

Reorder the terms:
-10 + a2 + 3a2 = 0

Combine like terms: a2 + 3a2 = 4a2
-10 + 4a2 = 0

Solving
-10 + 4a2 = 0

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + 10 + 4a2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 4a2 = 0 + 10
4a2 = 0 + 10

Combine like terms: 0 + 10 = 10
4a2 = 10

Divide each side by '4'.
a2 = 2.5

Simplifying
a2 = 2.5

Take the square root of each side:
a = {-1.58113883, 1.58113883}