x^2+70x-14400=0

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

Simplifying
x2 + 70x + -14400 = 0

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

Solving
-14400 + 70x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-160 + -1x)(90 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 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 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

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