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

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


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

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

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

Solving
3x + -6x2 = 2

Solving for variable 'x'.

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

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

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.3333333333 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.5x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.5x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.5x + x2 = 0 + -0.3333333333
-0.5x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.5x + x2 = -0.3333333333

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -0.3333333333 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -0.3333333333 + 0.0625

Combine like terms: -0.3333333333 + 0.0625 = -0.2708333333
0.0625 + -0.5x + x2 = -0.2708333333

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.2708333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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