3200=x^2+20x-300

Solution for 3200=x^2+20x-300 equation:

Simplifying
3200 = x2 + 20x + -300

Reorder the terms:
3200 = -300 + 20x + x2

Solving
3200 = -300 + 20x + x2

Solving for variable 'x'.

Combine like terms: 3200 + 300 = 3500
3500 + -20x + -1x2 = -300 + 20x + x2 + 300 + -20x + -1x2

Reorder the terms:
3500 + -20x + -1x2 = -300 + 300 + 20x + -20x + x2 + -1x2

Combine like terms: -300 + 300 = 0
3500 + -20x + -1x2 = 0 + 20x + -20x + x2 + -1x2
3500 + -20x + -1x2 = 20x + -20x + x2 + -1x2

Combine like terms: 20x + -20x = 0
3500 + -20x + -1x2 = 0 + x2 + -1x2
3500 + -20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3500 + -20x + -1x2 = 0

Factor a trinomial.
(50 + -1x)(70 + x) = 0

Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 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 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Subproblem 2
Set the factor '(70 + x)' equal to zero and attempt to solve:

Simplifying
70 + x = 0

Solving
70 + x = 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 + x = 0 + -70

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

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

Simplifying
x = -70
Solution
x = {50, -70}