6200=x^2-70x+4400

Solution for 6200=x^2-70x+4400 equation:

Simplifying
6200 = x2 + -70x + 4400

Reorder the terms:
6200 = 4400 + -70x + x2

Solving
6200 = 4400 + -70x + x2

Solving for variable 'x'.

Combine like terms: 6200 + -4400 = 1800
1800 + 70x + -1x2 = 4400 + -70x + x2 + -4400 + 70x + -1x2

Reorder the terms:
1800 + 70x + -1x2 = 4400 + -4400 + -70x + 70x + x2 + -1x2

Combine like terms: 4400 + -4400 = 0
1800 + 70x + -1x2 = 0 + -70x + 70x + x2 + -1x2
1800 + 70x + -1x2 = -70x + 70x + x2 + -1x2

Combine like terms: -70x + 70x = 0
1800 + 70x + -1x2 = 0 + x2 + -1x2
1800 + 70x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1800 + 70x + -1x2 = 0

Factor a trinomial.
(90 + -1x)(20 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {90, -20}