4x(2x-1)=3x-19

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Solution for 4x(2x-1)=3x-19 equation: 


Simplifying
4x(2x + -1) = 3x + -19

Reorder the terms:
4x(-1 + 2x) = 3x + -19
(-1 * 4x + 2x * 4x) = 3x + -19
(-4x + 8x2) = 3x + -19

Reorder the terms:
-4x + 8x2 = -19 + 3x

Solving
-4x + 8x2 = -19 + 3x

Solving for variable 'x'.

Reorder the terms:
19 + -4x + -3x + 8x2 = -19 + 3x + 19 + -3x

Combine like terms: -4x + -3x = -7x
19 + -7x + 8x2 = -19 + 3x + 19 + -3x

Reorder the terms:
19 + -7x + 8x2 = -19 + 19 + 3x + -3x

Combine like terms: -19 + 19 = 0
19 + -7x + 8x2 = 0 + 3x + -3x
19 + -7x + 8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -7x + 8x2 = 0

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

Divide each side by '8'.
2.375 + -0.875x + x2 = 0

Move the constant term to the right:

Add '-2.375' to each side of the equation.
2.375 + -0.875x + -2.375 + x2 = 0 + -2.375

Reorder the terms:
2.375 + -2.375 + -0.875x + x2 = 0 + -2.375

Combine like terms: 2.375 + -2.375 = 0.000
0.000 + -0.875x + x2 = 0 + -2.375
-0.875x + x2 = 0 + -2.375

Combine like terms: 0 + -2.375 = -2.375
-0.875x + x2 = -2.375

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 = -2.375 + 0.19140625

Reorder the terms:
0.19140625 + -0.875x + x2 = -2.375 + 0.19140625

Combine like terms: -2.375 + 0.19140625 = -2.18359375
0.19140625 + -0.875x + x2 = -2.18359375

Factor a perfect square on the left side:
(x + -0.4375)(x + -0.4375) = -2.18359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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