(x)(x+3)=1120

Solution for (x)(x+3)=1120 equation:

Simplifying
(x)(x + 3) = 1120

Reorder the terms:
x(3 + x) = 1120
(3 * x + x * x) = 1120
(3x + x2) = 1120

Solving
3x + x2 = 1120

Solving for variable 'x'.

Reorder the terms:
-1120 + 3x + x2 = 1120 + -1120

Combine like terms: 1120 + -1120 = 0
-1120 + 3x + x2 = 0

Factor a trinomial.
(-35 + -1x)(32 + -1x) = 0

Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve:

Simplifying
-35 + -1x = 0

Solving
-35 + -1x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = 0 + 35
-1x = 0 + 35

Combine like terms: 0 + 35 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35
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 = {-35, 32}