(1200-60x)(20+2x)=

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Solution for (1200-60x)(20+2x)= equation: 


Simplifying
(1200 + -60x)(20 + 2x) = 0

Multiply (1200 + -60x) * (20 + 2x)
(1200(20 + 2x) + -60x * (20 + 2x)) = 0
((20 * 1200 + 2x * 1200) + -60x * (20 + 2x)) = 0
((24000 + 2400x) + -60x * (20 + 2x)) = 0
(24000 + 2400x + (20 * -60x + 2x * -60x)) = 0
(24000 + 2400x + (-1200x + -120x2)) = 0

Combine like terms: 2400x + -1200x = 1200x
(24000 + 1200x + -120x2) = 0

Solving
24000 + 1200x + -120x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '120'.
120(200 + 10x + -1x2) = 0

Factor a trinomial.
120((20 + -1x)(10 + x)) = 0

Ignore the factor 120.

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 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 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

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

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

Simplifying
x = -10
Solution
x = {20, -10}

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