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

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


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

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

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

Multiply (-1 + 2x) * (2 + 3x)
(-1(2 + 3x) + 2x * (2 + 3x)) = 3x + -2 + x(x + -2)
((2 * -1 + 3x * -1) + 2x * (2 + 3x)) = 3x + -2 + x(x + -2)
((-2 + -3x) + 2x * (2 + 3x)) = 3x + -2 + x(x + -2)
(-2 + -3x + (2 * 2x + 3x * 2x)) = 3x + -2 + x(x + -2)
(-2 + -3x + (4x + 6x2)) = 3x + -2 + x(x + -2)

Combine like terms: -3x + 4x = 1x
(-2 + 1x + 6x2) = 3x + -2 + x(x + -2)

Reorder the terms:
-2 + 1x + 6x2 = 3x + -2 + x(-2 + x)
-2 + 1x + 6x2 = 3x + -2 + (-2 * x + x * x)
-2 + 1x + 6x2 = 3x + -2 + (-2x + x2)

Reorder the terms:
-2 + 1x + 6x2 = -2 + 3x + -2x + x2

Combine like terms: 3x + -2x = 1x
-2 + 1x + 6x2 = -2 + 1x + x2

Add '2' to each side of the equation.
-2 + 1x + 2 + 6x2 = -2 + 1x + 2 + x2

Reorder the terms:
-2 + 2 + 1x + 6x2 = -2 + 1x + 2 + x2

Combine like terms: -2 + 2 = 0
0 + 1x + 6x2 = -2 + 1x + 2 + x2
1x + 6x2 = -2 + 1x + 2 + x2

Reorder the terms:
1x + 6x2 = -2 + 2 + 1x + x2

Combine like terms: -2 + 2 = 0
1x + 6x2 = 0 + 1x + x2
1x + 6x2 = 1x + x2

Add '-1x' to each side of the equation.
1x + -1x + 6x2 = 1x + -1x + x2

Combine like terms: 1x + -1x = 0
0 + 6x2 = 1x + -1x + x2
6x2 = 1x + -1x + x2

Combine like terms: 1x + -1x = 0
6x2 = 0 + x2
6x2 = x2

Solving
6x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
6x2 + -1x2 = x2 + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5x2 = 0

Divide each side by '5'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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