9300=x^2-19x+78

Solution for 9300=x^2-19x+78 equation:

Simplifying
9300 = x2 + -19x + 78

Reorder the terms:
9300 = 78 + -19x + x2

Solving
9300 = 78 + -19x + x2

Solving for variable 'x'.

Combine like terms: 9300 + -78 = 9222
9222 + 19x + -1x2 = 78 + -19x + x2 + -78 + 19x + -1x2

Reorder the terms:
9222 + 19x + -1x2 = 78 + -78 + -19x + 19x + x2 + -1x2

Combine like terms: 78 + -78 = 0
9222 + 19x + -1x2 = 0 + -19x + 19x + x2 + -1x2
9222 + 19x + -1x2 = -19x + 19x + x2 + -1x2

Combine like terms: -19x + 19x = 0
9222 + 19x + -1x2 = 0 + x2 + -1x2
9222 + 19x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9222 + 19x + -1x2 = 0

Factor a trinomial.
(106 + -1x)(87 + x) = 0

Subproblem 1
Set the factor '(106 + -1x)' equal to zero and attempt to solve:

Simplifying
106 + -1x = 0

Solving
106 + -1x = 0

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

Add '-106' to each side of the equation.
106 + -106 + -1x = 0 + -106

Combine like terms: 106 + -106 = 0
0 + -1x = 0 + -106
-1x = 0 + -106

Combine like terms: 0 + -106 = -106
-1x = -106

Divide each side by '-1'.
x = 106

Simplifying
x = 106
Subproblem 2
Set the factor '(87 + x)' equal to zero and attempt to solve:

Simplifying
87 + x = 0

Solving
87 + x = 0

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

Add '-87' to each side of the equation.
87 + -87 + x = 0 + -87

Combine like terms: 87 + -87 = 0
0 + x = 0 + -87
x = 0 + -87

Combine like terms: 0 + -87 = -87
x = -87

Simplifying
x = -87
Solution
x = {106, -87}