(2g-2)(4g-9)=133

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Solution for (2g-2)(4g-9)=133 equation: 


Simplifying
(2g + -2)(4g + -9) = 133

Reorder the terms:
(-2 + 2g)(4g + -9) = 133

Reorder the terms:
(-2 + 2g)(-9 + 4g) = 133

Multiply (-2 + 2g) * (-9 + 4g)
(-2(-9 + 4g) + 2g * (-9 + 4g)) = 133
((-9 * -2 + 4g * -2) + 2g * (-9 + 4g)) = 133
((18 + -8g) + 2g * (-9 + 4g)) = 133
(18 + -8g + (-9 * 2g + 4g * 2g)) = 133
(18 + -8g + (-18g + 8g2)) = 133

Combine like terms: -8g + -18g = -26g
(18 + -26g + 8g2) = 133

Solving
18 + -26g + 8g2 = 133

Solving for variable 'g'.

Reorder the terms:
18 + -133 + -26g + 8g2 = 133 + -133

Combine like terms: 18 + -133 = -115
-115 + -26g + 8g2 = 133 + -133

Combine like terms: 133 + -133 = 0
-115 + -26g + 8g2 = 0

Factor a trinomial.
(-5 + -2g)(23 + -4g) = 0


Subproblem 1
Set the factor '(-5 + -2g)' equal to zero and attempt to solve:

Simplifying
-5 + -2g = 0

Solving
-5 + -2g = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2g = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2g = 0 + 5
-2g = 0 + 5

Combine like terms: 0 + 5 = 5
-2g = 5

Divide each side by '-2'.
g = -2.5

Simplifying
g = -2.5

Subproblem 2
Set the factor '(23 + -4g)' equal to zero and attempt to solve:

Simplifying
23 + -4g = 0

Solving
23 + -4g = 0

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

Add '-23' to each side of the equation.
23 + -23 + -4g = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -4g = 0 + -23
-4g = 0 + -23

Combine like terms: 0 + -23 = -23
-4g = -23

Divide each side by '-4'.
g = 5.75

Simplifying
g = 5.75
Solution
g = {-2.5, 5.75}

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