2756=x(x+1)

Solution for 2756=x(x+1) equation:

Simplifying
2756 = x(x + 1)

Reorder the terms:
2756 = x(1 + x)
2756 = (1 * x + x * x)
2756 = (1x + x2)

Solving
2756 = 1x + x2

Solving for variable 'x'.

Reorder the terms:
2756 + -1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
2756 + -1x + -1x2 = 0 + x2 + -1x2
2756 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2756 + -1x + -1x2 = 0

Factor a trinomial.
(52 + -1x)(53 + x) = 0

Subproblem 1
Set the factor '(52 + -1x)' equal to zero and attempt to solve:

Simplifying
52 + -1x = 0

Solving
52 + -1x = 0

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

Add '-52' to each side of the equation.
52 + -52 + -1x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -1x = 0 + -52
-1x = 0 + -52

Combine like terms: 0 + -52 = -52
-1x = -52

Divide each side by '-1'.
x = 52

Simplifying
x = 52
Subproblem 2
Set the factor '(53 + x)' equal to zero and attempt to solve:

Simplifying
53 + x = 0

Solving
53 + x = 0

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

Add '-53' to each side of the equation.
53 + -53 + x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + x = 0 + -53
x = 0 + -53

Combine like terms: 0 + -53 = -53
x = -53

Simplifying
x = -53
Solution
x = {52, -53}