3400=x^2+60x+1800

Solution for 3400=x^2+60x+1800 equation:

Simplifying
3400 = x2 + 60x + 1800

Reorder the terms:
3400 = 1800 + 60x + x2

Solving
3400 = 1800 + 60x + x2

Solving for variable 'x'.

Combine like terms: 3400 + -1800 = 1600
1600 + -60x + -1x2 = 1800 + 60x + x2 + -1800 + -60x + -1x2

Reorder the terms:
1600 + -60x + -1x2 = 1800 + -1800 + 60x + -60x + x2 + -1x2

Combine like terms: 1800 + -1800 = 0
1600 + -60x + -1x2 = 0 + 60x + -60x + x2 + -1x2
1600 + -60x + -1x2 = 60x + -60x + x2 + -1x2

Combine like terms: 60x + -60x = 0
1600 + -60x + -1x2 = 0 + x2 + -1x2
1600 + -60x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1600 + -60x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(80 + x) = 0

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

Simplifying
20 + -1x = 0

Solving
20 + -1x = 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 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(80 + x)' equal to zero and attempt to solve:

Simplifying
80 + x = 0

Solving
80 + x = 0

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

Add '-80' to each side of the equation.
80 + -80 + x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + x = 0 + -80
x = 0 + -80

Combine like terms: 0 + -80 = -80
x = -80

Simplifying
x = -80
Solution
x = {20, -80}