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

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


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

Reorder the terms:
3x(8 + x) + 8(x + 8) = 0
(8 * 3x + x * 3x) + 8(x + 8) = 0
(24x + 3x2) + 8(x + 8) = 0

Reorder the terms:
24x + 3x2 + 8(8 + x) = 0
24x + 3x2 + (8 * 8 + x * 8) = 0
24x + 3x2 + (64 + 8x) = 0

Reorder the terms:
64 + 24x + 8x + 3x2 = 0

Combine like terms: 24x + 8x = 32x
64 + 32x + 3x2 = 0

Solving
64 + 32x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8

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 = {-8, -2.666666667}

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