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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
-6x2 = -1x2

Solving for variable 'x'.

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

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

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

Combine like terms: -1x2 + x2 = 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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