0=x^2-14x-5880

Solution for 0=x^2-14x-5880 equation:

Simplifying
0 = x2 + -14x + -5880

Reorder the terms:
0 = -5880 + -14x + x2

Solving
0 = -5880 + -14x + x2

Solving for variable 'x'.

Combine like terms: 0 + 5880 = 5880
5880 + 14x + -1x2 = -5880 + -14x + x2 + 5880 + 14x + -1x2

Reorder the terms:
5880 + 14x + -1x2 = -5880 + 5880 + -14x + 14x + x2 + -1x2

Combine like terms: -5880 + 5880 = 0
5880 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2
5880 + 14x + -1x2 = -14x + 14x + x2 + -1x2

Combine like terms: -14x + 14x = 0
5880 + 14x + -1x2 = 0 + x2 + -1x2
5880 + 14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5880 + 14x + -1x2 = 0

Factor a trinomial.
(84 + -1x)(70 + x) = 0

Subproblem 1
Set the factor '(84 + -1x)' equal to zero and attempt to solve:

Simplifying
84 + -1x = 0

Solving
84 + -1x = 0

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

Add '-84' to each side of the equation.
84 + -84 + -1x = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -1x = 0 + -84
-1x = 0 + -84

Combine like terms: 0 + -84 = -84
-1x = -84

Divide each side by '-1'.
x = 84

Simplifying
x = 84
Subproblem 2
Set the factor '(70 + x)' equal to zero and attempt to solve:

Simplifying
70 + x = 0

Solving
70 + x = 0

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

Add '-70' to each side of the equation.
70 + -70 + x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + x = 0 + -70
x = 0 + -70

Combine like terms: 0 + -70 = -70
x = -70

Simplifying
x = -70
Solution
x = {84, -70}