4(9x-1)=9x(4-x)

Solution for 4(9x-1)=9x(4-x) equation:

Simplifying
4(9x + -1) = 9x(4 + -1x)

Reorder the terms:
4(-1 + 9x) = 9x(4 + -1x)
(-1 * 4 + 9x * 4) = 9x(4 + -1x)
(-4 + 36x) = 9x(4 + -1x)
-4 + 36x = (4 * 9x + -1x * 9x)
-4 + 36x = (36x + -9x2)

Add '-36x' to each side of the equation.
-4 + 36x + -36x = 36x + -36x + -9x2

Combine like terms: 36x + -36x = 0
-4 + 0 = 36x + -36x + -9x2
-4 = 36x + -36x + -9x2

Combine like terms: 36x + -36x = 0
-4 = 0 + -9x2
-4 = -9x2

Solving
-4 = -9x2

Solving for variable 'x'.

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

Add '9x2' to each side of the equation.
-4 + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
-4 + 9x2 = 0

Add '4' to each side of the equation.
-4 + 4 + 9x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9x2 = 0 + 4
9x2 = 0 + 4

Combine like terms: 0 + 4 = 4
9x2 = 4

Divide each side by '9'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

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