0=x^2+50x-464

Solution for 0=x^2+50x-464 equation:

Simplifying
0 = x2 + 50x + -464

Reorder the terms:
0 = -464 + 50x + x2

Solving
0 = -464 + 50x + x2

Solving for variable 'x'.

Combine like terms: 0 + 464 = 464
464 + -50x + -1x2 = -464 + 50x + x2 + 464 + -50x + -1x2

Reorder the terms:
464 + -50x + -1x2 = -464 + 464 + 50x + -50x + x2 + -1x2

Combine like terms: -464 + 464 = 0
464 + -50x + -1x2 = 0 + 50x + -50x + x2 + -1x2
464 + -50x + -1x2 = 50x + -50x + x2 + -1x2

Combine like terms: 50x + -50x = 0
464 + -50x + -1x2 = 0 + x2 + -1x2
464 + -50x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
464 + -50x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(58 + x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(58 + x)' equal to zero and attempt to solve:

Simplifying
58 + x = 0

Solving
58 + x = 0

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

Add '-58' to each side of the equation.
58 + -58 + x = 0 + -58

Combine like terms: 58 + -58 = 0
0 + x = 0 + -58
x = 0 + -58

Combine like terms: 0 + -58 = -58
x = -58

Simplifying
x = -58
Solution
x = {8, -58}