5049-150X+X^2=0

Solution for 5049-150X+X^2=0 equation:

Simplifying
5049 + -150X + X2 = 0

Solving
5049 + -150X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(51 + -1X)(99 + -1X) = 0

Subproblem 1
Set the factor '(51 + -1X)' equal to zero and attempt to solve:

Simplifying
51 + -1X = 0

Solving
51 + -1X = 0

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

Add '-51' to each side of the equation.
51 + -51 + -1X = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -1X = 0 + -51
-1X = 0 + -51

Combine like terms: 0 + -51 = -51
-1X = -51

Divide each side by '-1'.
X = 51

Simplifying
X = 51
Subproblem 2
Set the factor '(99 + -1X)' equal to zero and attempt to solve:

Simplifying
99 + -1X = 0

Solving
99 + -1X = 0

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

Add '-99' to each side of the equation.
99 + -99 + -1X = 0 + -99

Combine like terms: 99 + -99 = 0
0 + -1X = 0 + -99
-1X = 0 + -99

Combine like terms: 0 + -99 = -99
-1X = -99

Divide each side by '-1'.
X = 99

Simplifying
X = 99
Solution
X = {51, 99}