x*x-100x+291=0

Solution for x*x-100x+291=0 equation:

Simplifying
x * x + -100x + 291 = 0

Multiply x * x
x2 + -100x + 291 = 0

Reorder the terms:
291 + -100x + x2 = 0

Solving
291 + -100x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(97 + -1x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(97 + -1x)' equal to zero and attempt to solve:

Simplifying
97 + -1x = 0

Solving
97 + -1x = 0

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

Add '-97' to each side of the equation.
97 + -97 + -1x = 0 + -97

Combine like terms: 97 + -97 = 0
0 + -1x = 0 + -97
-1x = 0 + -97

Combine like terms: 0 + -97 = -97
-1x = -97

Divide each side by '-1'.
x = 97

Simplifying
x = 97
Solution
x = {3, 97}