4a^2-23-6=0

Solution for 4a^2-23-6=0 equation:

Simplifying
4a2 + -23 + -6 = 0

Reorder the terms:
-23 + -6 + 4a2 = 0

Combine like terms: -23 + -6 = -29
-29 + 4a2 = 0

Solving
-29 + 4a2 = 0

Solving for variable 'a'.

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

Add '29' to each side of the equation.
-29 + 29 + 4a2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 4a2 = 0 + 29
4a2 = 0 + 29

Combine like terms: 0 + 29 = 29
4a2 = 29

Divide each side by '4'.
a2 = 7.25

Simplifying
a2 = 7.25

Take the square root of each side:
a = {-2.692582404, 2.692582404}