0=x^2-48x+47

Solution for 0=x^2-48x+47 equation:

Simplifying
0 = x2 + -48x + 47

Reorder the terms:
0 = 47 + -48x + x2

Solving
0 = 47 + -48x + x2

Solving for variable 'x'.

Combine like terms: 0 + -47 = -47
-47 + 48x + -1x2 = 47 + -48x + x2 + -47 + 48x + -1x2

Reorder the terms:
-47 + 48x + -1x2 = 47 + -47 + -48x + 48x + x2 + -1x2

Combine like terms: 47 + -47 = 0
-47 + 48x + -1x2 = 0 + -48x + 48x + x2 + -1x2
-47 + 48x + -1x2 = -48x + 48x + x2 + -1x2

Combine like terms: -48x + 48x = 0
-47 + 48x + -1x2 = 0 + x2 + -1x2
-47 + 48x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-47 + 48x + -1x2 = 0

Factor a trinomial.
(-47 + x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-47 + x)' equal to zero and attempt to solve:

Simplifying
-47 + x = 0

Solving
-47 + x = 0

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

Add '47' to each side of the equation.
-47 + 47 + x = 0 + 47

Combine like terms: -47 + 47 = 0
0 + x = 0 + 47
x = 0 + 47

Combine like terms: 0 + 47 = 47
x = 47

Simplifying
x = 47
Subproblem 2
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
Solution
x = {47, 1}