(7g-9)(g-1)=0

Solution for (7g-9)(g-1)=0 equation:

Simplifying
(7g + -9)(g + -1) = 0

Reorder the terms:
(-9 + 7g)(g + -1) = 0

Reorder the terms:
(-9 + 7g)(-1 + g) = 0

Multiply (-9 + 7g) * (-1 + g)
(-9(-1 + g) + 7g * (-1 + g)) = 0
((-1 * -9 + g * -9) + 7g * (-1 + g)) = 0
((9 + -9g) + 7g * (-1 + g)) = 0
(9 + -9g + (-1 * 7g + g * 7g)) = 0
(9 + -9g + (-7g + 7g2)) = 0

Combine like terms: -9g + -7g = -16g
(9 + -16g + 7g2) = 0

Solving
9 + -16g + 7g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(1 + -1g)(9 + -7g) = 0

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

Simplifying
1 + -1g = 0

Solving
1 + -1g = 0

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

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

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

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

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

Simplifying
g = 1
Subproblem 2
Set the factor '(9 + -7g)' equal to zero and attempt to solve:

Simplifying
9 + -7g = 0

Solving
9 + -7g = 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 + -7g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7g = 0 + -9
-7g = 0 + -9

Combine like terms: 0 + -9 = -9
-7g = -9

Divide each side by '-7'.
g = 1.285714286

Simplifying
g = 1.285714286
Solution
g = {1, 1.285714286}