(g+7)(2g-8)=

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Solution for (g+7)(2g-8)= equation: 


Simplifying
(g + 7)(2g + -8) = 0

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

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

Multiply (7 + g) * (-8 + 2g)
(7(-8 + 2g) + g(-8 + 2g)) = 0
((-8 * 7 + 2g * 7) + g(-8 + 2g)) = 0
((-56 + 14g) + g(-8 + 2g)) = 0
(-56 + 14g + (-8 * g + 2g * g)) = 0
(-56 + 14g + (-8g + 2g2)) = 0

Combine like terms: 14g + -8g = 6g
(-56 + 6g + 2g2) = 0

Solving
-56 + 6g + 2g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 3g + g2) = 0

Factor a trinomial.
2((-7 + -1g)(4 + -1g)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -1g)' equal to zero and attempt to solve:

Simplifying
-7 + -1g = 0

Solving
-7 + -1g = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1g = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1g = 0 + 7
-1g = 0 + 7

Combine like terms: 0 + 7 = 7
-1g = 7

Divide each side by '-1'.
g = -7

Simplifying
g = -7

Subproblem 2
Set the factor '(4 + -1g)' equal to zero and attempt to solve:

Simplifying
4 + -1g = 0

Solving
4 + -1g = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1g = 0 + -4
-1g = 0 + -4

Combine like terms: 0 + -4 = -4
-1g = -4

Divide each side by '-1'.
g = 4

Simplifying
g = 4
Solution
g = {-7, 4}

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