(9x+1)(-2x+2)=0

Solution for (9x+1)(-2x+2)=0 equation:

Simplifying
(9x + 1)(-2x + 2) = 0

Reorder the terms:
(1 + 9x)(-2x + 2) = 0

Reorder the terms:
(1 + 9x)(2 + -2x) = 0

Multiply (1 + 9x) * (2 + -2x)
(1(2 + -2x) + 9x * (2 + -2x)) = 0
((2 * 1 + -2x * 1) + 9x * (2 + -2x)) = 0
((2 + -2x) + 9x * (2 + -2x)) = 0
(2 + -2x + (2 * 9x + -2x * 9x)) = 0
(2 + -2x + (18x + -18x2)) = 0

Combine like terms: -2x + 18x = 16x
(2 + 16x + -18x2) = 0

Solving
2 + 16x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 8x + -9x2) = 0

Factor a trinomial.
2((1 + -1x)(1 + 9x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(1 + 9x)' equal to zero and attempt to solve:

Simplifying
1 + 9x = 0

Solving
1 + 9x = 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 + 9x = 0 + -1

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

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

Divide each side by '9'.
x = -0.1111111111

Simplifying
x = -0.1111111111
Solution
x = {1, -0.1111111111}