0=x^2+48x-4900

Solution for 0=x^2+48x-4900 equation:

Simplifying
0 = x2 + 48x + -4900

Reorder the terms:
0 = -4900 + 48x + x2

Solving
0 = -4900 + 48x + x2

Solving for variable 'x'.

Combine like terms: 0 + 4900 = 4900
4900 + -48x + -1x2 = -4900 + 48x + x2 + 4900 + -48x + -1x2

Reorder the terms:
4900 + -48x + -1x2 = -4900 + 4900 + 48x + -48x + x2 + -1x2

Combine like terms: -4900 + 4900 = 0
4900 + -48x + -1x2 = 0 + 48x + -48x + x2 + -1x2
4900 + -48x + -1x2 = 48x + -48x + x2 + -1x2

Combine like terms: 48x + -48x = 0
4900 + -48x + -1x2 = 0 + x2 + -1x2
4900 + -48x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4900 + -48x + -1x2 = 0

Factor a trinomial.
(50 + -1x)(98 + x) = 0

Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 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 + -1x = 0 + -50

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

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

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Subproblem 2
Set the factor '(98 + x)' equal to zero and attempt to solve:

Simplifying
98 + x = 0

Solving
98 + x = 0

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

Add '-98' to each side of the equation.
98 + -98 + x = 0 + -98

Combine like terms: 98 + -98 = 0
0 + x = 0 + -98
x = 0 + -98

Combine like terms: 0 + -98 = -98
x = -98

Simplifying
x = -98
Solution
x = {50, -98}