14x^2-209x-15=

Solution for 14x^2-209x-15= equation:

Simplifying
14x2 + -209x + -15 = 0

Reorder the terms:
-15 + -209x + 14x2 = 0

Solving
-15 + -209x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -14x)(15 + -1x) = 0

Subproblem 1
Set the factor '(-1 + -14x)' equal to zero and attempt to solve:

Simplifying
-1 + -14x = 0

Solving
-1 + -14x = 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 + -14x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -14x = 0 + 1
-14x = 0 + 1

Combine like terms: 0 + 1 = 1
-14x = 1

Divide each side by '-14'.
x = -0.07142857143

Simplifying
x = -0.07142857143
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-0.07142857143, 15}