9a^2-58+24=0

Solution for 9a^2-58+24=0 equation:

Simplifying
9a2 + -58 + 24 = 0

Reorder the terms:
-58 + 24 + 9a2 = 0

Combine like terms: -58 + 24 = -34
-34 + 9a2 = 0

Solving
-34 + 9a2 = 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 + 9a2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 9a2 = 0 + 34
9a2 = 0 + 34

Combine like terms: 0 + 34 = 34
9a2 = 34

Divide each side by '9'.
a2 = 3.777777778

Simplifying
a2 = 3.777777778

Take the square root of each side:
a = {-1.943650632, 1.943650632}