x^2+20x-6300=0

Solution for x^2+20x-6300=0 equation:

Simplifying
x2 + 20x + -6300 = 0

Reorder the terms:
-6300 + 20x + x2 = 0

Solving
-6300 + 20x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-90 + -1x)(70 + -1x) = 0

Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve:

Simplifying
-90 + -1x = 0

Solving
-90 + -1x = 0

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

Add '90' to each side of the equation.
-90 + 90 + -1x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -1x = 0 + 90
-1x = 0 + 90

Combine like terms: 0 + 90 = 90
-1x = 90

Divide each side by '-1'.
x = -90

Simplifying
x = -90
Subproblem 2
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
Solution
x = {-90, 70}