5a^2-45+40=0

Solution for 5a^2-45+40=0 equation:

Simplifying
5a2 + -45 + 40 = 0

Reorder the terms:
-45 + 40 + 5a2 = 0

Combine like terms: -45 + 40 = -5
-5 + 5a2 = 0

Solving
-5 + 5a2 = 0

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 + 5a2 = 0 + 5

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

Combine like terms: 0 + 5 = 5
5a2 = 5

Divide each side by '5'.
a2 = 1

Simplifying
a2 = 1

Take the square root of each side:
a = {-1, 1}