8700=x^2-19x+48

Solution for 8700=x^2-19x+48 equation:

Simplifying
8700 = x2 + -19x + 48

Reorder the terms:
8700 = 48 + -19x + x2

Solving
8700 = 48 + -19x + x2

Solving for variable 'x'.

Combine like terms: 8700 + -48 = 8652
8652 + 19x + -1x2 = 48 + -19x + x2 + -48 + 19x + -1x2

Reorder the terms:
8652 + 19x + -1x2 = 48 + -48 + -19x + 19x + x2 + -1x2

Combine like terms: 48 + -48 = 0
8652 + 19x + -1x2 = 0 + -19x + 19x + x2 + -1x2
8652 + 19x + -1x2 = -19x + 19x + x2 + -1x2

Combine like terms: -19x + 19x = 0
8652 + 19x + -1x2 = 0 + x2 + -1x2
8652 + 19x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8652 + 19x + -1x2 = 0

Factor a trinomial.
(103 + -1x)(84 + x) = 0

Subproblem 1
Set the factor '(103 + -1x)' equal to zero and attempt to solve:

Simplifying
103 + -1x = 0

Solving
103 + -1x = 0

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

Add '-103' to each side of the equation.
103 + -103 + -1x = 0 + -103

Combine like terms: 103 + -103 = 0
0 + -1x = 0 + -103
-1x = 0 + -103

Combine like terms: 0 + -103 = -103
-1x = -103

Divide each side by '-1'.
x = 103

Simplifying
x = 103
Subproblem 2
Set the factor '(84 + x)' equal to zero and attempt to solve:

Simplifying
84 + x = 0

Solving
84 + x = 0

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

Add '-84' to each side of the equation.
84 + -84 + x = 0 + -84

Combine like terms: 84 + -84 = 0
0 + x = 0 + -84
x = 0 + -84

Combine like terms: 0 + -84 = -84
x = -84

Simplifying
x = -84
Solution
x = {103, -84}