(2X*2X)=3X-1

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Solution for (2X*2X)=3X-1 equation: 


Simplifying
(2X * 2X) = 3X + -1

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

Multiply 2 * 2
(4X * X) = 3X + -1

Multiply X * X
(4X2) = 3X + -1

Reorder the terms:
(4X2) = -1 + 3X

Solving
(4X2) = -1 + 3X

Solving for variable 'X'.

Reorder the terms:
1 + -3X + (4X2) = -1 + 3X + 1 + -3X

Reorder the terms:
1 + -3X + (4X2) = -1 + 1 + 3X + -3X

Combine like terms: -1 + 1 = 0
1 + -3X + (4X2) = 0 + 3X + -3X
1 + -3X + (4X2) = 3X + -3X

Combine like terms: 3X + -3X = 0
1 + -3X + (4X2) = 0

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

Divide each side by '4'.
0.25 + -0.75X + X2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.75X + -0.25 + X2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.75X + X2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.75X + X2 = 0 + -0.25
-0.75X + X2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.75X + X2 = -0.25

The X term is -0.75X.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75X + 0.140625 + X2 = -0.25 + 0.140625

Reorder the terms:
0.140625 + -0.75X + X2 = -0.25 + 0.140625

Combine like terms: -0.25 + 0.140625 = -0.109375
0.140625 + -0.75X + X2 = -0.109375

Factor a perfect square on the left side:
((X) + -0.375)((X) + -0.375) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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