0=x^2+48x-100

Solution for 0=x^2+48x-100 equation:

Simplifying
0 = x2 + 48x + -100

Reorder the terms:
0 = -100 + 48x + x2

Solving
0 = -100 + 48x + x2

Solving for variable 'x'.

Combine like terms: 0 + 100 = 100
100 + -48x + -1x2 = -100 + 48x + x2 + 100 + -48x + -1x2

Reorder the terms:
100 + -48x + -1x2 = -100 + 100 + 48x + -48x + x2 + -1x2

Combine like terms: -100 + 100 = 0
100 + -48x + -1x2 = 0 + 48x + -48x + x2 + -1x2
100 + -48x + -1x2 = 48x + -48x + x2 + -1x2

Combine like terms: 48x + -48x = 0
100 + -48x + -1x2 = 0 + x2 + -1x2
100 + -48x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
100 + -48x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(50 + x) = 0

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
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 = {2, -50}