-14x^2+19x+13=0

Solution for -14x^2+19x+13=0 equation:

Simplifying
-14x2 + 19x + 13 = 0

Reorder the terms:
13 + 19x + -14x2 = 0

Solving
13 + 19x + -14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(13 + -7x)(1 + 2x) = 0

Subproblem 1
Set the factor '(13 + -7x)' equal to zero and attempt to solve:

Simplifying
13 + -7x = 0

Solving
13 + -7x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -7x = 0 + -13

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

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

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {1.857142857, -0.5}