0=x^2-70x-14400

Solution for 0=x^2-70x-14400 equation:

Simplifying
0 = x2 + -70x + -14400

Reorder the terms:
0 = -14400 + -70x + x2

Solving
0 = -14400 + -70x + x2

Solving for variable 'x'.

Combine like terms: 0 + 14400 = 14400
14400 + 70x + -1x2 = -14400 + -70x + x2 + 14400 + 70x + -1x2

Reorder the terms:
14400 + 70x + -1x2 = -14400 + 14400 + -70x + 70x + x2 + -1x2

Combine like terms: -14400 + 14400 = 0
14400 + 70x + -1x2 = 0 + -70x + 70x + x2 + -1x2
14400 + 70x + -1x2 = -70x + 70x + x2 + -1x2

Combine like terms: -70x + 70x = 0
14400 + 70x + -1x2 = 0 + x2 + -1x2
14400 + 70x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14400 + 70x + -1x2 = 0

Factor a trinomial.
(160 + -1x)(90 + x) = 0

Subproblem 1
Set the factor '(160 + -1x)' equal to zero and attempt to solve:

Simplifying
160 + -1x = 0

Solving
160 + -1x = 0

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

Add '-160' to each side of the equation.
160 + -160 + -1x = 0 + -160

Combine like terms: 160 + -160 = 0
0 + -1x = 0 + -160
-1x = 0 + -160

Combine like terms: 0 + -160 = -160
-1x = -160

Divide each side by '-1'.
x = 160

Simplifying
x = 160
Subproblem 2
Set the factor '(90 + x)' equal to zero and attempt to solve:

Simplifying
90 + x = 0

Solving
90 + x = 0

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

Add '-90' to each side of the equation.
90 + -90 + x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + x = 0 + -90
x = 0 + -90

Combine like terms: 0 + -90 = -90
x = -90

Simplifying
x = -90
Solution
x = {160, -90}