16a^2+9=45

Solution for 16a^2+9=45 equation:

Simplifying
16a2 + 9 = 45

Reorder the terms:
9 + 16a2 = 45

Solving
9 + 16a2 = 45

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + 16a2 = 45 + -9

Combine like terms: 9 + -9 = 0
0 + 16a2 = 45 + -9
16a2 = 45 + -9

Combine like terms: 45 + -9 = 36
16a2 = 36

Divide each side by '16'.
a2 = 2.25

Simplifying
a2 = 2.25

Take the square root of each side:
a = {-1.5, 1.5}