(3x+8)(3x+60)=0

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Solution for (3x+8)(3x+60)=0 equation: 


Simplifying
(3x + 8)(3x + 60) = 0

Reorder the terms:
(8 + 3x)(3x + 60) = 0

Reorder the terms:
(8 + 3x)(60 + 3x) = 0

Multiply (8 + 3x) * (60 + 3x)
(8(60 + 3x) + 3x * (60 + 3x)) = 0
((60 * 8 + 3x * 8) + 3x * (60 + 3x)) = 0
((480 + 24x) + 3x * (60 + 3x)) = 0
(480 + 24x + (60 * 3x + 3x * 3x)) = 0
(480 + 24x + (180x + 9x2)) = 0

Combine like terms: 24x + 180x = 204x
(480 + 204x + 9x2) = 0

Solving
480 + 204x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(160 + 68x + 3x2) = 0

Factor a trinomial.
3((20 + x)(8 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {-20, -2.666666667}

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