(6g+7)(g-8)=0

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Solution for (6g+7)(g-8)=0 equation: 


Simplifying
(6g + 7)(g + -8) = 0

Reorder the terms:
(7 + 6g)(g + -8) = 0

Reorder the terms:
(7 + 6g)(-8 + g) = 0

Multiply (7 + 6g) * (-8 + g)
(7(-8 + g) + 6g * (-8 + g)) = 0
((-8 * 7 + g * 7) + 6g * (-8 + g)) = 0
((-56 + 7g) + 6g * (-8 + g)) = 0
(-56 + 7g + (-8 * 6g + g * 6g)) = 0
(-56 + 7g + (-48g + 6g2)) = 0

Combine like terms: 7g + -48g = -41g
(-56 + -41g + 6g2) = 0

Solving
-56 + -41g + 6g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-7 + -6g)(8 + -1g) = 0


Subproblem 1
Set the factor '(-7 + -6g)' equal to zero and attempt to solve:

Simplifying
-7 + -6g = 0

Solving
-7 + -6g = 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 + -6g = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -6g = 0 + 7
-6g = 0 + 7

Combine like terms: 0 + 7 = 7
-6g = 7

Divide each side by '-6'.
g = -1.166666667

Simplifying
g = -1.166666667

Subproblem 2
Set the factor '(8 + -1g)' equal to zero and attempt to solve:

Simplifying
8 + -1g = 0

Solving
8 + -1g = 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 + -1g = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1g = 0 + -8
-1g = 0 + -8

Combine like terms: 0 + -8 = -8
-1g = -8

Divide each side by '-1'.
g = 8

Simplifying
g = 8
Solution
g = {-1.166666667, 8}

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