x(x-101)=-2550

Solution for x(x-101)=-2550 equation:

Simplifying
x(x + -101) = -2550

Reorder the terms:
x(-101 + x) = -2550
(-101 * x + x * x) = -2550
(-101x + x2) = -2550

Solving
-101x + x2 = -2550

Solving for variable 'x'.

Reorder the terms:
2550 + -101x + x2 = -2550 + 2550

Combine like terms: -2550 + 2550 = 0
2550 + -101x + x2 = 0

Factor a trinomial.
(50 + -1x)(51 + -1x) = 0

Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Subproblem 2
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
Solution
x = {50, 51}