(G-11)(G-8)=70

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Solution for (G-11)(G-8)=70 equation: 


Simplifying
(G + -11)(G + -8) = 70

Reorder the terms:
(-11 + G)(G + -8) = 70

Reorder the terms:
(-11 + G)(-8 + G) = 70

Multiply (-11 + G) * (-8 + G)
(-11(-8 + G) + G(-8 + G)) = 70
((-8 * -11 + G * -11) + G(-8 + G)) = 70
((88 + -11G) + G(-8 + G)) = 70
(88 + -11G + (-8 * G + G * G)) = 70
(88 + -11G + (-8G + G2)) = 70

Combine like terms: -11G + -8G = -19G
(88 + -19G + G2) = 70

Solving
88 + -19G + G2 = 70

Solving for variable 'G'.

Reorder the terms:
88 + -70 + -19G + G2 = 70 + -70

Combine like terms: 88 + -70 = 18
18 + -19G + G2 = 70 + -70

Combine like terms: 70 + -70 = 0
18 + -19G + G2 = 0

Factor a trinomial.
(1 + -1G)(18 + -1G) = 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 '(18 + -1G)' equal to zero and attempt to solve:

Simplifying
18 + -1G = 0

Solving
18 + -1G = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1G = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1G = 0 + -18
-1G = 0 + -18

Combine like terms: 0 + -18 = -18
-1G = -18

Divide each side by '-1'.
G = 18

Simplifying
G = 18
Solution
G = {1, 18}

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