14x^2+9x-5=-6

Solution for 14x^2+9x-5=-6 equation:

Simplifying
14x2 + 9x + -5 = -6

Reorder the terms:
-5 + 9x + 14x2 = -6

Solving
-5 + 9x + 14x2 = -6

Solving for variable 'x'.

Reorder the terms:
-5 + 6 + 9x + 14x2 = -6 + 6

Combine like terms: -5 + 6 = 1
1 + 9x + 14x2 = -6 + 6

Combine like terms: -6 + 6 = 0
1 + 9x + 14x2 = 0

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

Subproblem 1
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
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 = {-0.5, -0.1428571429}