0=x^2+35x-246

Solution for 0=x^2+35x-246 equation:

Simplifying
0 = x2 + 35x + -246

Reorder the terms:
0 = -246 + 35x + x2

Solving
0 = -246 + 35x + x2

Solving for variable 'x'.

Combine like terms: 0 + 246 = 246
246 + -35x + -1x2 = -246 + 35x + x2 + 246 + -35x + -1x2

Reorder the terms:
246 + -35x + -1x2 = -246 + 246 + 35x + -35x + x2 + -1x2

Combine like terms: -246 + 246 = 0
246 + -35x + -1x2 = 0 + 35x + -35x + x2 + -1x2
246 + -35x + -1x2 = 35x + -35x + x2 + -1x2

Combine like terms: 35x + -35x = 0
246 + -35x + -1x2 = 0 + x2 + -1x2
246 + -35x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
246 + -35x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(41 + x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(41 + x)' equal to zero and attempt to solve:

Simplifying
41 + x = 0

Solving
41 + x = 0

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

Add '-41' to each side of the equation.
41 + -41 + x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + x = 0 + -41
x = 0 + -41

Combine like terms: 0 + -41 = -41
x = -41

Simplifying
x = -41
Solution
x = {6, -41}