9x(x+2)=18x+1

Solution for 9x(x+2)=18x+1 equation:

Simplifying
9x(x + 2) = 18x + 1

Reorder the terms:
9x(2 + x) = 18x + 1
(2 * 9x + x * 9x) = 18x + 1
(18x + 9x2) = 18x + 1

Reorder the terms:
18x + 9x2 = 1 + 18x

Add '-18x' to each side of the equation.
18x + -18x + 9x2 = 1 + 18x + -18x

Combine like terms: 18x + -18x = 0
0 + 9x2 = 1 + 18x + -18x
9x2 = 1 + 18x + -18x

Combine like terms: 18x + -18x = 0
9x2 = 1 + 0
9x2 = 1

Solving
9x2 = 1

Solving for variable 'x'.

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

Divide each side by '9'.
x2 = 0.1111111111

Simplifying
x2 = 0.1111111111

Take the square root of each side:
x = {-0.333333333, 0.333333333}