(3x-1)(2+3x)=(3x-5)*(3x-5)

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Solution for (3x-1)(2+3x)=(3x-5)*(3x-5) equation: 


Simplifying
(3x + -1)(2 + 3x) = (3x + -5)(3x + -5)

Reorder the terms:
(-1 + 3x)(2 + 3x) = (3x + -5)(3x + -5)

Multiply (-1 + 3x) * (2 + 3x)
(-1(2 + 3x) + 3x * (2 + 3x)) = (3x + -5)(3x + -5)
((2 * -1 + 3x * -1) + 3x * (2 + 3x)) = (3x + -5)(3x + -5)
((-2 + -3x) + 3x * (2 + 3x)) = (3x + -5)(3x + -5)
(-2 + -3x + (2 * 3x + 3x * 3x)) = (3x + -5)(3x + -5)
(-2 + -3x + (6x + 9x2)) = (3x + -5)(3x + -5)

Combine like terms: -3x + 6x = 3x
(-2 + 3x + 9x2) = (3x + -5)(3x + -5)

Reorder the terms:
-2 + 3x + 9x2 = (-5 + 3x)(3x + -5)

Reorder the terms:
-2 + 3x + 9x2 = (-5 + 3x)(-5 + 3x)

Multiply (-5 + 3x) * (-5 + 3x)
-2 + 3x + 9x2 = (-5(-5 + 3x) + 3x * (-5 + 3x))
-2 + 3x + 9x2 = ((-5 * -5 + 3x * -5) + 3x * (-5 + 3x))
-2 + 3x + 9x2 = ((25 + -15x) + 3x * (-5 + 3x))
-2 + 3x + 9x2 = (25 + -15x + (-5 * 3x + 3x * 3x))
-2 + 3x + 9x2 = (25 + -15x + (-15x + 9x2))

Combine like terms: -15x + -15x = -30x
-2 + 3x + 9x2 = (25 + -30x + 9x2)

Add '-9x2' to each side of the equation.
-2 + 3x + 9x2 + -9x2 = 25 + -30x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-2 + 3x + 0 = 25 + -30x + 9x2 + -9x2
-2 + 3x = 25 + -30x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-2 + 3x = 25 + -30x + 0
-2 + 3x = 25 + -30x

Solving
-2 + 3x = 25 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
-2 + 3x + 30x = 25 + -30x + 30x

Combine like terms: 3x + 30x = 33x
-2 + 33x = 25 + -30x + 30x

Combine like terms: -30x + 30x = 0
-2 + 33x = 25 + 0
-2 + 33x = 25

Add '2' to each side of the equation.
-2 + 2 + 33x = 25 + 2

Combine like terms: -2 + 2 = 0
0 + 33x = 25 + 2
33x = 25 + 2

Combine like terms: 25 + 2 = 27
33x = 27

Divide each side by '33'.
x = 0.8181818182

Simplifying
x = 0.8181818182

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