9750=x^2-20x+49

Solution for 9750=x^2-20x+49 equation:

Simplifying
9750 = x2 + -20x + 49

Reorder the terms:
9750 = 49 + -20x + x2

Solving
9750 = 49 + -20x + x2

Solving for variable 'x'.

Combine like terms: 9750 + -49 = 9701
9701 + 20x + -1x2 = 49 + -20x + x2 + -49 + 20x + -1x2

Reorder the terms:
9701 + 20x + -1x2 = 49 + -49 + -20x + 20x + x2 + -1x2

Combine like terms: 49 + -49 = 0
9701 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2
9701 + 20x + -1x2 = -20x + 20x + x2 + -1x2

Combine like terms: -20x + 20x = 0
9701 + 20x + -1x2 = 0 + x2 + -1x2
9701 + 20x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9701 + 20x + -1x2 = 0

Factor a trinomial.
(109 + -1x)(89 + x) = 0

Subproblem 1
Set the factor '(109 + -1x)' equal to zero and attempt to solve:

Simplifying
109 + -1x = 0

Solving
109 + -1x = 0

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

Add '-109' to each side of the equation.
109 + -109 + -1x = 0 + -109

Combine like terms: 109 + -109 = 0
0 + -1x = 0 + -109
-1x = 0 + -109

Combine like terms: 0 + -109 = -109
-1x = -109

Divide each side by '-1'.
x = 109

Simplifying
x = 109
Subproblem 2
Set the factor '(89 + x)' equal to zero and attempt to solve:

Simplifying
89 + x = 0

Solving
89 + x = 0

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

Add '-89' to each side of the equation.
89 + -89 + x = 0 + -89

Combine like terms: 89 + -89 = 0
0 + x = 0 + -89
x = 0 + -89

Combine like terms: 0 + -89 = -89
x = -89

Simplifying
x = -89
Solution
x = {109, -89}