(6g-8)(g-9)=0

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Solution for (6g-8)(g-9)=0 equation: 


Simplifying
(6g + -8)(g + -9) = 0

Reorder the terms:
(-8 + 6g)(g + -9) = 0

Reorder the terms:
(-8 + 6g)(-9 + g) = 0

Multiply (-8 + 6g) * (-9 + g)
(-8(-9 + g) + 6g * (-9 + g)) = 0
((-9 * -8 + g * -8) + 6g * (-9 + g)) = 0
((72 + -8g) + 6g * (-9 + g)) = 0
(72 + -8g + (-9 * 6g + g * 6g)) = 0
(72 + -8g + (-54g + 6g2)) = 0

Combine like terms: -8g + -54g = -62g
(72 + -62g + 6g2) = 0

Solving
72 + -62g + 6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -31g + 3g2) = 0

Factor a trinomial.
2((4 + -3g)(9 + -1g)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -3g)' equal to zero and attempt to solve:

Simplifying
4 + -3g = 0

Solving
4 + -3g = 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 + -3g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3g = 0 + -4
-3g = 0 + -4

Combine like terms: 0 + -4 = -4
-3g = -4

Divide each side by '-3'.
g = 1.333333333

Simplifying
g = 1.333333333

Subproblem 2
Set the factor '(9 + -1g)' equal to zero and attempt to solve:

Simplifying
9 + -1g = 0

Solving
9 + -1g = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1g = 0 + -9
-1g = 0 + -9

Combine like terms: 0 + -9 = -9
-1g = -9

Divide each side by '-1'.
g = 9

Simplifying
g = 9
Solution
g = {1.333333333, 9}

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