0=x^2+30x-7000

Solution for 0=x^2+30x-7000 equation:

Simplifying
0 = x2 + 30x + -7000

Reorder the terms:
0 = -7000 + 30x + x2

Solving
0 = -7000 + 30x + x2

Solving for variable 'x'.

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

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

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

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

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

Factor a trinomial.
(70 + -1x)(100 + x) = 0

Subproblem 1
Set the factor '(70 + -1x)' equal to zero and attempt to solve:

Simplifying
70 + -1x = 0

Solving
70 + -1x = 0

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

Add '-70' to each side of the equation.
70 + -70 + -1x = 0 + -70

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

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

Divide each side by '-1'.
x = 70

Simplifying
x = 70
Subproblem 2
Set the factor '(100 + x)' equal to zero and attempt to solve:

Simplifying
100 + x = 0

Solving
100 + x = 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 + x = 0 + -100

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

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

Simplifying
x = -100
Solution
x = {70, -100}