20x^2-13x-7=0

Solution for 20x^2-13x-7=0 equation:

Simplifying
20x2 + -13x + -7 = 0

Reorder the terms:
-7 + -13x + 20x2 = 0

Solving
-7 + -13x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -20x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -20x)' equal to zero and attempt to solve:

Simplifying
-7 + -20x = 0

Solving
-7 + -20x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -20x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -20x = 0 + 7
-20x = 0 + 7

Combine like terms: 0 + 7 = 7
-20x = 7

Divide each side by '-20'.
x = -0.35

Simplifying
x = -0.35
Subproblem 2
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
Solution
x = {-0.35, 1}