0=7x^2-13x-2

Solution for 0=7x^2-13x-2 equation:

Simplifying
0 = 7x2 + -13x + -2

Reorder the terms:
0 = -2 + -13x + 7x2

Solving
0 = -2 + -13x + 7x2

Solving for variable 'x'.

Combine like terms: 0 + 2 = 2
2 + 13x + -7x2 = -2 + -13x + 7x2 + 2 + 13x + -7x2

Reorder the terms:
2 + 13x + -7x2 = -2 + 2 + -13x + 13x + 7x2 + -7x2

Combine like terms: -2 + 2 = 0
2 + 13x + -7x2 = 0 + -13x + 13x + 7x2 + -7x2
2 + 13x + -7x2 = -13x + 13x + 7x2 + -7x2

Combine like terms: -13x + 13x = 0
2 + 13x + -7x2 = 0 + 7x2 + -7x2
2 + 13x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
2 + 13x + -7x2 = 0

Factor a trinomial.
(2 + -1x)(1 + 7x) = 0

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 + 7x)' equal to zero and attempt to solve:

Simplifying
1 + 7x = 0

Solving
1 + 7x = 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 + 7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 0 + -1
7x = 0 + -1

Combine like terms: 0 + -1 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Solution
x = {2, -0.1428571429}