(x+20)(x+57)=

Solution for (x+20)(x+57)= equation:

Simplifying
(x + 20)(x + 57) = 0

Reorder the terms:
(20 + x)(x + 57) = 0

Reorder the terms:
(20 + x)(57 + x) = 0

Multiply (20 + x) * (57 + x)
(20(57 + x) + x(57 + x)) = 0
((57 * 20 + x * 20) + x(57 + x)) = 0
((1140 + 20x) + x(57 + x)) = 0
(1140 + 20x + (57 * x + x * x)) = 0
(1140 + 20x + (57x + x2)) = 0

Combine like terms: 20x + 57x = 77x
(1140 + 77x + x2) = 0

Solving
1140 + 77x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(57 + x)(20 + x) = 0

Subproblem 1
Set the factor '(57 + x)' equal to zero and attempt to solve:

Simplifying
57 + x = 0

Solving
57 + x = 0

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

Add '-57' to each side of the equation.
57 + -57 + x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + x = 0 + -57
x = 0 + -57

Combine like terms: 0 + -57 = -57
x = -57

Simplifying
x = -57
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {-57, -20}