7400=x^2-70x+4400

Solution for 7400=x^2-70x+4400 equation:

Simplifying
7400 = x2 + -70x + 4400

Reorder the terms:
7400 = 4400 + -70x + x2

Solving
7400 = 4400 + -70x + x2

Solving for variable 'x'.

Combine like terms: 7400 + -4400 = 3000
3000 + 70x + -1x2 = 4400 + -70x + x2 + -4400 + 70x + -1x2

Reorder the terms:
3000 + 70x + -1x2 = 4400 + -4400 + -70x + 70x + x2 + -1x2

Combine like terms: 4400 + -4400 = 0
3000 + 70x + -1x2 = 0 + -70x + 70x + x2 + -1x2
3000 + 70x + -1x2 = -70x + 70x + x2 + -1x2

Combine like terms: -70x + 70x = 0
3000 + 70x + -1x2 = 0 + x2 + -1x2
3000 + 70x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3000 + 70x + -1x2 = 0

Factor a trinomial.
(100 + -1x)(30 + x) = 0

Subproblem 1
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30
Solution
x = {100, -30}