9a^3+16=9a^2(a+4)

Solution for 9a^3+16=9a^2(a+4) equation:

Simplifying
9a3 + 16 = 9a2(a + 4)

Reorder the terms:
16 + 9a3 = 9a2(a + 4)

Reorder the terms:
16 + 9a3 = 9a2(4 + a)
16 + 9a3 = (4 * 9a2 + a * 9a2)
16 + 9a3 = (36a2 + 9a3)

Add '-9a3' to each side of the equation.
16 + 9a3 + -9a3 = 36a2 + 9a3 + -9a3

Combine like terms: 9a3 + -9a3 = 0
16 + 0 = 36a2 + 9a3 + -9a3
16 = 36a2 + 9a3 + -9a3

Combine like terms: 9a3 + -9a3 = 0
16 = 36a2 + 0
16 = 36a2

Solving
16 = 36a2

Solving for variable 'a'.

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

Add '-36a2' to each side of the equation.
16 + -36a2 = 36a2 + -36a2

Combine like terms: 36a2 + -36a2 = 0
16 + -36a2 = 0

Add '-16' to each side of the equation.
16 + -16 + -36a2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -36a2 = 0 + -16
-36a2 = 0 + -16

Combine like terms: 0 + -16 = -16
-36a2 = -16

Divide each side by '-36'.
a2 = 0.4444444444

Simplifying
a2 = 0.4444444444

Take the square root of each side:
a = {-0.666666667, 0.666666667}