-14x^2-55x+4=0

Solution for -14x^2-55x+4=0 equation:

Simplifying
-14x2 + -55x + 4 = 0

Reorder the terms:
4 + -55x + -14x2 = 0

Solving
4 + -55x + -14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -14x)(4 + x) = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0.07142857143, -4}