(x+20)(x+30)=1200

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Solution for (x+20)(x+30)=1200 equation: 


Simplifying
(x + 20)(x + 30) = 1200

Reorder the terms:
(20 + x)(x + 30) = 1200

Reorder the terms:
(20 + x)(30 + x) = 1200

Multiply (20 + x) * (30 + x)
(20(30 + x) + x(30 + x)) = 1200
((30 * 20 + x * 20) + x(30 + x)) = 1200
((600 + 20x) + x(30 + x)) = 1200
(600 + 20x + (30 * x + x * x)) = 1200
(600 + 20x + (30x + x2)) = 1200

Combine like terms: 20x + 30x = 50x
(600 + 50x + x2) = 1200

Solving
600 + 50x + x2 = 1200

Solving for variable 'x'.

Reorder the terms:
600 + -1200 + 50x + x2 = 1200 + -1200

Combine like terms: 600 + -1200 = -600
-600 + 50x + x2 = 1200 + -1200

Combine like terms: 1200 + -1200 = 0
-600 + 50x + x2 = 0

Factor a trinomial.
(-60 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-60, 10}

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