4a^2-5=10

Solution for 4a^2-5=10 equation:

Simplifying
4a2 + -5 = 10

Reorder the terms:
-5 + 4a2 = 10

Solving
-5 + 4a2 = 10

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 5 + 4a2 = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 4a2 = 10 + 5
4a2 = 10 + 5

Combine like terms: 10 + 5 = 15
4a2 = 15

Divide each side by '4'.
a2 = 3.75

Simplifying
a2 = 3.75

Take the square root of each side:
a = {-1.936491673, 1.936491673}