(2x+60)(3x+20)=

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Solution for (2x+60)(3x+20)= equation: 


Simplifying
(2x + 60)(3x + 20) = 0

Reorder the terms:
(60 + 2x)(3x + 20) = 0

Reorder the terms:
(60 + 2x)(20 + 3x) = 0

Multiply (60 + 2x) * (20 + 3x)
(60(20 + 3x) + 2x * (20 + 3x)) = 0
((20 * 60 + 3x * 60) + 2x * (20 + 3x)) = 0
((1200 + 180x) + 2x * (20 + 3x)) = 0
(1200 + 180x + (20 * 2x + 3x * 2x)) = 0
(1200 + 180x + (40x + 6x2)) = 0

Combine like terms: 180x + 40x = 220x
(1200 + 220x + 6x2) = 0

Solving
1200 + 220x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(600 + 110x + 3x2) = 0

Factor a trinomial.
2((30 + x)(20 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30

Subproblem 2
Set the factor '(20 + 3x)' equal to zero and attempt to solve:

Simplifying
20 + 3x = 0

Solving
20 + 3x = 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 + 3x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 0 + -20
3x = 0 + -20

Combine like terms: 0 + -20 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667
Solution
x = {-30, -6.666666667}

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