0=2(9x^2-17x-2)

Solution for 0=2(9x^2-17x-2) equation:

Simplifying
0 = 2(9x2 + -17x + -2)

Reorder the terms:
0 = 2(-2 + -17x + 9x2)
0 = (-2 * 2 + -17x * 2 + 9x2 * 2)
0 = (-4 + -34x + 18x2)

Solving
0 = -4 + -34x + 18x2

Solving for variable 'x'.

Combine like terms: 0 + 4 = 4
4 + 34x + -18x2 = -4 + -34x + 18x2 + 4 + 34x + -18x2

Reorder the terms:
4 + 34x + -18x2 = -4 + 4 + -34x + 34x + 18x2 + -18x2

Combine like terms: -4 + 4 = 0
4 + 34x + -18x2 = 0 + -34x + 34x + 18x2 + -18x2
4 + 34x + -18x2 = -34x + 34x + 18x2 + -18x2

Combine like terms: -34x + 34x = 0
4 + 34x + -18x2 = 0 + 18x2 + -18x2
4 + 34x + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
4 + 34x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 17x + -9x2) = 0

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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
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 = {2, -0.1111111111}