9a^2-16d^2=0

Solution for 9a^2-16d^2=0 equation:

Simplifying
9a2 + -16d2 = 0

Solving
9a2 + -16d2 = 0

Solving for variable 'a'.

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

Add '16d2' to each side of the equation.
9a2 + -16d2 + 16d2 = 0 + 16d2

Combine like terms: -16d2 + 16d2 = 0
9a2 + 0 = 0 + 16d2
9a2 = 0 + 16d2
Remove the zero:
9a2 = 16d2

Divide each side by '9'.
a2 = 1.777777778d2

Simplifying
a2 = 1.777777778d2

Take the square root of each side:
a = {-1.333333333d, 1.333333333d}