0=x^2+34x-800

Solution for 0=x^2+34x-800 equation:

Simplifying
0 = x2 + 34x + -800

Reorder the terms:
0 = -800 + 34x + x2

Solving
0 = -800 + 34x + x2

Solving for variable 'x'.

Combine like terms: 0 + 800 = 800
800 + -34x + -1x2 = -800 + 34x + x2 + 800 + -34x + -1x2

Reorder the terms:
800 + -34x + -1x2 = -800 + 800 + 34x + -34x + x2 + -1x2

Combine like terms: -800 + 800 = 0
800 + -34x + -1x2 = 0 + 34x + -34x + x2 + -1x2
800 + -34x + -1x2 = 34x + -34x + x2 + -1x2

Combine like terms: 34x + -34x = 0
800 + -34x + -1x2 = 0 + x2 + -1x2
800 + -34x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
800 + -34x + -1x2 = 0

Factor a trinomial.
(16 + -1x)(50 + x) = 0

Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Subproblem 2
Set the factor '(50 + x)' equal to zero and attempt to solve:

Simplifying
50 + x = 0

Solving
50 + x = 0

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

Add '-50' to each side of the equation.
50 + -50 + x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + x = 0 + -50
x = 0 + -50

Combine like terms: 0 + -50 = -50
x = -50

Simplifying
x = -50
Solution
x = {16, -50}