16a*-24a+9=0

Solution for 16a*-24a+9=0 equation:

Simplifying
16a * -24a + 9 = 0

Reorder the terms for easier multiplication:
16 * -24a * a + 9 = 0

Multiply 16 * -24
-384a * a + 9 = 0

Multiply a * a
-384a2 + 9 = 0

Reorder the terms:
9 + -384a2 = 0

Solving
9 + -384a2 = 0

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 + -384a2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -384a2 = 0 + -9
-384a2 = 0 + -9

Combine like terms: 0 + -9 = -9
-384a2 = -9

Divide each side by '-384'.
a2 = 0.0234375

Simplifying
a2 = 0.0234375

Take the square root of each side:
a = {-0.153093109, 0.153093109}