x^2=48x+49

Solution for x^2=48x+49 equation:

Simplifying
x2 = 48x + 49

Reorder the terms:
x2 = 49 + 48x

Solving
x2 = 49 + 48x

Solving for variable 'x'.

Reorder the terms:
-49 + -48x + x2 = 49 + 48x + -49 + -48x

Reorder the terms:
-49 + -48x + x2 = 49 + -49 + 48x + -48x

Combine like terms: 49 + -49 = 0
-49 + -48x + x2 = 0 + 48x + -48x
-49 + -48x + x2 = 48x + -48x

Combine like terms: 48x + -48x = 0
-49 + -48x + x2 = 0

Factor a trinomial.
(-1 + -1x)(49 + -1x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(49 + -1x)' equal to zero and attempt to solve:

Simplifying
49 + -1x = 0

Solving
49 + -1x = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1x = 0 + -49
-1x = 0 + -49

Combine like terms: 0 + -49 = -49
-1x = -49

Divide each side by '-1'.
x = 49

Simplifying
x = 49
Solution
x = {-1, 49}