x(x+1)=1056

Solution for x(x+1)=1056 equation:

Simplifying
x(x + 1) = 1056

Reorder the terms:
x(1 + x) = 1056
(1 * x + x * x) = 1056
(1x + x2) = 1056

Solving
1x + x2 = 1056

Solving for variable 'x'.

Reorder the terms:
-1056 + 1x + x2 = 1056 + -1056

Combine like terms: 1056 + -1056 = 0
-1056 + 1x + x2 = 0

Factor a trinomial.
(-33 + -1x)(32 + -1x) = 0

Subproblem 1
Set the factor '(-33 + -1x)' equal to zero and attempt to solve:

Simplifying
-33 + -1x = 0

Solving
-33 + -1x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -1x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -1x = 0 + 33
-1x = 0 + 33

Combine like terms: 0 + 33 = 33
-1x = 33

Divide each side by '-1'.
x = -33

Simplifying
x = -33
Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve:

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 0 + -32
-1x = 0 + -32

Combine like terms: 0 + -32 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32
Solution
x = {-33, 32}