3x^2+350x-100000=0

Solution for 3x^2+350x-100000=0 equation:

Simplifying
3x2 + 350x + -100000 = 0

Reorder the terms:
-100000 + 350x + 3x2 = 0

Solving
-100000 + 350x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-250 + -1x)(400 + -3x) = 0

Subproblem 1
Set the factor '(-250 + -1x)' equal to zero and attempt to solve:

Simplifying
-250 + -1x = 0

Solving
-250 + -1x = 0

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

Add '250' to each side of the equation.
-250 + 250 + -1x = 0 + 250

Combine like terms: -250 + 250 = 0
0 + -1x = 0 + 250
-1x = 0 + 250

Combine like terms: 0 + 250 = 250
-1x = 250

Divide each side by '-1'.
x = -250

Simplifying
x = -250
Subproblem 2
Set the factor '(400 + -3x)' equal to zero and attempt to solve:

Simplifying
400 + -3x = 0

Solving
400 + -3x = 0

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

Add '-400' to each side of the equation.
400 + -400 + -3x = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -3x = 0 + -400
-3x = 0 + -400

Combine like terms: 0 + -400 = -400
-3x = -400

Divide each side by '-3'.
x = 133.3333333

Simplifying
x = 133.3333333
Solution
x = {-250, 133.3333333}