0=x^2+34x-240

Solution for 0=x^2+34x-240 equation:

Simplifying
0 = x2 + 34x + -240

Reorder the terms:
0 = -240 + 34x + x2

Solving
0 = -240 + 34x + x2

Solving for variable 'x'.

Combine like terms: 0 + 240 = 240
240 + -34x + -1x2 = -240 + 34x + x2 + 240 + -34x + -1x2

Reorder the terms:
240 + -34x + -1x2 = -240 + 240 + 34x + -34x + x2 + -1x2

Combine like terms: -240 + 240 = 0
240 + -34x + -1x2 = 0 + 34x + -34x + x2 + -1x2
240 + -34x + -1x2 = 34x + -34x + x2 + -1x2

Combine like terms: 34x + -34x = 0
240 + -34x + -1x2 = 0 + x2 + -1x2
240 + -34x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
240 + -34x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(40 + 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 '(40 + x)' equal to zero and attempt to solve:

Simplifying
40 + x = 0

Solving
40 + x = 0

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

Add '-40' to each side of the equation.
40 + -40 + x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + x = 0 + -40
x = 0 + -40

Combine like terms: 0 + -40 = -40
x = -40

Simplifying
x = -40
Solution
x = {6, -40}