3(3V-5)(3V-5)=4(3V-5)+4

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Solution for 3(3V-5)(3V-5)=4(3V-5)+4 equation: 


Simplifying
3(3V + -5)(3V + -5) = 4(3V + -5) + 4

Reorder the terms:
3(-5 + 3V)(3V + -5) = 4(3V + -5) + 4

Reorder the terms:
3(-5 + 3V)(-5 + 3V) = 4(3V + -5) + 4

Multiply (-5 + 3V) * (-5 + 3V)
3(-5(-5 + 3V) + 3V * (-5 + 3V)) = 4(3V + -5) + 4
3((-5 * -5 + 3V * -5) + 3V * (-5 + 3V)) = 4(3V + -5) + 4
3((25 + -15V) + 3V * (-5 + 3V)) = 4(3V + -5) + 4
3(25 + -15V + (-5 * 3V + 3V * 3V)) = 4(3V + -5) + 4
3(25 + -15V + (-15V + 9V2)) = 4(3V + -5) + 4

Combine like terms: -15V + -15V = -30V
3(25 + -30V + 9V2) = 4(3V + -5) + 4
(25 * 3 + -30V * 3 + 9V2 * 3) = 4(3V + -5) + 4
(75 + -90V + 27V2) = 4(3V + -5) + 4

Reorder the terms:
75 + -90V + 27V2 = 4(-5 + 3V) + 4
75 + -90V + 27V2 = (-5 * 4 + 3V * 4) + 4
75 + -90V + 27V2 = (-20 + 12V) + 4

Reorder the terms:
75 + -90V + 27V2 = -20 + 4 + 12V

Combine like terms: -20 + 4 = -16
75 + -90V + 27V2 = -16 + 12V

Solving
75 + -90V + 27V2 = -16 + 12V

Solving for variable 'V'.

Reorder the terms:
75 + 16 + -90V + -12V + 27V2 = -16 + 12V + 16 + -12V

Combine like terms: 75 + 16 = 91
91 + -90V + -12V + 27V2 = -16 + 12V + 16 + -12V

Combine like terms: -90V + -12V = -102V
91 + -102V + 27V2 = -16 + 12V + 16 + -12V

Reorder the terms:
91 + -102V + 27V2 = -16 + 16 + 12V + -12V

Combine like terms: -16 + 16 = 0
91 + -102V + 27V2 = 0 + 12V + -12V
91 + -102V + 27V2 = 12V + -12V

Combine like terms: 12V + -12V = 0
91 + -102V + 27V2 = 0

Factor a trinomial.
(13 + -9V)(7 + -3V) = 0


Subproblem 1
Set the factor '(13 + -9V)' equal to zero and attempt to solve:

Simplifying
13 + -9V = 0

Solving
13 + -9V = 0

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

Add '-13' to each side of the equation.
13 + -13 + -9V = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -9V = 0 + -13
-9V = 0 + -13

Combine like terms: 0 + -13 = -13
-9V = -13

Divide each side by '-9'.
V = 1.444444444

Simplifying
V = 1.444444444

Subproblem 2
Set the factor '(7 + -3V)' equal to zero and attempt to solve:

Simplifying
7 + -3V = 0

Solving
7 + -3V = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3V = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3V = 0 + -7
-3V = 0 + -7

Combine like terms: 0 + -7 = -7
-3V = -7

Divide each side by '-3'.
V = 2.333333333

Simplifying
V = 2.333333333
Solution
V = {1.444444444, 2.333333333}

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