0=x^2-25x-350

Solution for 0=x^2-25x-350 equation:

Simplifying
0 = x2 + -25x + -350

Reorder the terms:
0 = -350 + -25x + x2

Solving
0 = -350 + -25x + x2

Solving for variable 'x'.

Combine like terms: 0 + 350 = 350
350 + 25x + -1x2 = -350 + -25x + x2 + 350 + 25x + -1x2

Reorder the terms:
350 + 25x + -1x2 = -350 + 350 + -25x + 25x + x2 + -1x2

Combine like terms: -350 + 350 = 0
350 + 25x + -1x2 = 0 + -25x + 25x + x2 + -1x2
350 + 25x + -1x2 = -25x + 25x + x2 + -1x2

Combine like terms: -25x + 25x = 0
350 + 25x + -1x2 = 0 + x2 + -1x2
350 + 25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
350 + 25x + -1x2 = 0

Factor a trinomial.
(35 + -1x)(10 + x) = 0

Subproblem 1
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

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

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

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {35, -10}