8000=x^2+30x+7000

Solution for 8000=x^2+30x+7000 equation:

Simplifying
8000 = x2 + 30x + 7000

Reorder the terms:
8000 = 7000 + 30x + x2

Solving
8000 = 7000 + 30x + x2

Solving for variable 'x'.

Combine like terms: 8000 + -7000 = 1000
1000 + -30x + -1x2 = 7000 + 30x + x2 + -7000 + -30x + -1x2

Reorder the terms:
1000 + -30x + -1x2 = 7000 + -7000 + 30x + -30x + x2 + -1x2

Combine like terms: 7000 + -7000 = 0
1000 + -30x + -1x2 = 0 + 30x + -30x + x2 + -1x2
1000 + -30x + -1x2 = 30x + -30x + x2 + -1x2

Combine like terms: 30x + -30x = 0
1000 + -30x + -1x2 = 0 + x2 + -1x2
1000 + -30x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1000 + -30x + -1x2 = 0

Factor a trinomial.
(20 + -1x)(50 + 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 '(50 + x)' equal to zero and attempt to solve:

Simplifying
50 + x = 0

Solving
50 + x = 0

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

Add '-50' to each side of the equation.
50 + -50 + x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + x = 0 + -50
x = 0 + -50

Combine like terms: 0 + -50 = -50
x = -50

Simplifying
x = -50
Solution
x = {20, -50}