6(x+5)(3x+8)=

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Solution for 6(x+5)(3x+8)= equation: 


Simplifying
6(x + 5)(3x + 8) = 0

Reorder the terms:
6(5 + x)(3x + 8) = 0

Reorder the terms:
6(5 + x)(8 + 3x) = 0

Multiply (5 + x) * (8 + 3x)
6(5(8 + 3x) + x(8 + 3x)) = 0
6((8 * 5 + 3x * 5) + x(8 + 3x)) = 0
6((40 + 15x) + x(8 + 3x)) = 0
6(40 + 15x + (8 * x + 3x * x)) = 0
6(40 + 15x + (8x + 3x2)) = 0

Combine like terms: 15x + 8x = 23x
6(40 + 23x + 3x2) = 0
(40 * 6 + 23x * 6 + 3x2 * 6) = 0
(240 + 138x + 18x2) = 0

Solving
240 + 138x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(40 + 23x + 3x2) = 0

Factor a trinomial.
6((5 + x)(8 + 3x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

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 = {-5, -2.666666667}

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