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

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


Simplifying
4x(2x + -1) + -3(x + -1) = 0

Reorder the terms:
4x(-1 + 2x) + -3(x + -1) = 0
(-1 * 4x + 2x * 4x) + -3(x + -1) = 0
(-4x + 8x2) + -3(x + -1) = 0

Reorder the terms:
-4x + 8x2 + -3(-1 + x) = 0
-4x + 8x2 + (-1 * -3 + x * -3) = 0
-4x + 8x2 + (3 + -3x) = 0

Reorder the terms:
3 + -4x + -3x + 8x2 = 0

Combine like terms: -4x + -3x = -7x
3 + -7x + 8x2 = 0

Solving
3 + -7x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.375 + -0.875x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -0.875x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -0.875x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -0.875x + x2 = 0 + -0.375
-0.875x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-0.875x + x2 = -0.375

The x term is -0.875x.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875x + 0.19140625 + x2 = -0.375 + 0.19140625

Reorder the terms:
0.19140625 + -0.875x + x2 = -0.375 + 0.19140625

Combine like terms: -0.375 + 0.19140625 = -0.18359375
0.19140625 + -0.875x + x2 = -0.18359375

Factor a perfect square on the left side:
(x + -0.4375)(x + -0.4375) = -0.18359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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