x^2+200x+300=7200

Solution for x^2+200x+300=7200 equation:

Simplifying
x2 + 200x + 300 = 7200

Reorder the terms:
300 + 200x + x2 = 7200

Solving
300 + 200x + x2 = 7200

Solving for variable 'x'.

Reorder the terms:
300 + -7200 + 200x + x2 = 7200 + -7200

Combine like terms: 300 + -7200 = -6900
-6900 + 200x + x2 = 7200 + -7200

Combine like terms: 7200 + -7200 = 0
-6900 + 200x + x2 = 0

Factor a trinomial.
(-230 + -1x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-230 + -1x)' equal to zero and attempt to solve:

Simplifying
-230 + -1x = 0

Solving
-230 + -1x = 0

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

Add '230' to each side of the equation.
-230 + 230 + -1x = 0 + 230

Combine like terms: -230 + 230 = 0
0 + -1x = 0 + 230
-1x = 0 + 230

Combine like terms: 0 + 230 = 230
-1x = 230

Divide each side by '-1'.
x = -230

Simplifying
x = -230
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 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 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-230, 30}