x^2+65x+1056=0

Solution for x^2+65x+1056=0 equation:

Simplifying
x2 + 65x + 1056 = 0

Reorder the terms:
1056 + 65x + x2 = 0

Solving
1056 + 65x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
33 + x = 0

Solving
33 + x = 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 + x = 0 + -33

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

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

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

Simplifying
32 + x = 0

Solving
32 + x = 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 + x = 0 + -32

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

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

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