(3g+8)(2g-4)=

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Solution for (3g+8)(2g-4)= equation: 


Simplifying
(3g + 8)(2g + -4) = 0

Reorder the terms:
(8 + 3g)(2g + -4) = 0

Reorder the terms:
(8 + 3g)(-4 + 2g) = 0

Multiply (8 + 3g) * (-4 + 2g)
(8(-4 + 2g) + 3g * (-4 + 2g)) = 0
((-4 * 8 + 2g * 8) + 3g * (-4 + 2g)) = 0
((-32 + 16g) + 3g * (-4 + 2g)) = 0
(-32 + 16g + (-4 * 3g + 2g * 3g)) = 0
(-32 + 16g + (-12g + 6g2)) = 0

Combine like terms: 16g + -12g = 4g
(-32 + 4g + 6g2) = 0

Solving
-32 + 4g + 6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 2g + 3g2) = 0

Factor a trinomial.
2((-8 + -3g)(2 + -1g)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -3g)' equal to zero and attempt to solve:

Simplifying
-8 + -3g = 0

Solving
-8 + -3g = 0

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

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

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

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

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

Simplifying
g = -2.666666667

Subproblem 2
Set the factor '(2 + -1g)' equal to zero and attempt to solve:

Simplifying
2 + -1g = 0

Solving
2 + -1g = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1g = 0 + -2
-1g = 0 + -2

Combine like terms: 0 + -2 = -2
-1g = -2

Divide each side by '-1'.
g = 2

Simplifying
g = 2
Solution
g = {-2.666666667, 2}

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