(48+x)(x)=4900

Solution for (48+x)(x)=4900 equation:

Simplifying
(48 + x)(x) = 4900

Reorder the terms for easier multiplication:
x(48 + x) = 4900
(48 * x + x * x) = 4900
(48x + x2) = 4900

Solving
48x + x2 = 4900

Solving for variable 'x'.

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

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

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

Subproblem 1
Set the factor '(-98 + -1x)' equal to zero and attempt to solve:

Simplifying
-98 + -1x = 0

Solving
-98 + -1x = 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 + -1x = 0 + 98

Combine like terms: -98 + 98 = 0
0 + -1x = 0 + 98
-1x = 0 + 98

Combine like terms: 0 + 98 = 98
-1x = 98

Divide each side by '-1'.
x = -98

Simplifying
x = -98
Subproblem 2
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
Solution
x = {-98, 50}