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

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

Simplifying
9x3 + 16 = 9x2(x + 4)

Reorder the terms:
16 + 9x3 = 9x2(x + 4)

Reorder the terms:
16 + 9x3 = 9x2(4 + x)
16 + 9x3 = (4 * 9x2 + x * 9x2)
16 + 9x3 = (36x2 + 9x3)

Add '-9x3' to each side of the equation.
16 + 9x3 + -9x3 = 36x2 + 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
16 + 0 = 36x2 + 9x3 + -9x3
16 = 36x2 + 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
16 = 36x2 + 0
16 = 36x2

Solving
16 = 36x2

Solving for variable 'x'.

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

Add '-36x2' to each side of the equation.
16 + -36x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
16 + -36x2 = 0

Add '-16' to each side of the equation.
16 + -16 + -36x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -36x2 = 0 + -16
-36x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-36x2 = -16

Divide each side by '-36'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

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