3x(1-2x)=4x-(x-2)

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Solution for 3x(1-2x)=4x-(x-2) equation: 


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

Reorder the terms:
3x + -6x2 = 4x + -1(-2 + x)
3x + -6x2 = 4x + (-2 * -1 + x * -1)
3x + -6x2 = 4x + (2 + -1x)

Reorder the terms:
3x + -6x2 = 2 + 4x + -1x

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

Add '-3x' to each side of the equation.
3x + -3x + -6x2 = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
0 + -6x2 = 2 + 3x + -3x
-6x2 = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6x2 = 2 + 0
-6x2 = 2

Solving
-6x2 = 2

Solving for variable 'x'.

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

Divide each side by '-6'.
x2 = -0.3333333333

Simplifying
x2 = -0.3333333333

Reorder the terms:
0.3333333333 + x2 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + x2 = 0.0000000000

The solution to this equation could not be determined.

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