4a^2-58+24=0

Solution for 4a^2-58+24=0 equation:

Simplifying
4a2 + -58 + 24 = 0

Reorder the terms:
-58 + 24 + 4a2 = 0

Combine like terms: -58 + 24 = -34
-34 + 4a2 = 0

Solving
-34 + 4a2 = 0

Solving for variable 'a'.

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

Add '34' to each side of the equation.
-34 + 34 + 4a2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 4a2 = 0 + 34
4a2 = 0 + 34

Combine like terms: 0 + 34 = 34
4a2 = 34

Divide each side by '4'.
a2 = 8.5

Simplifying
a2 = 8.5

Take the square root of each side:
a = {-2.915475947, 2.915475947}