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

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

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

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

Solving
-9x + 18x2 = -1

Solving for variable 'x'.

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

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

Factor a trinomial.
(1 + -6x)(1 + -3x) = 0

Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0.1666666667, 0.3333333333}