9X^2+4=2X

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Solution for 9X^2+4=2X equation:


Simplifying
9X2 + 4 = 2X

Reorder the terms:
4 + 9X2 = 2X

Solving
4 + 9X2 = 2X

Solving for variable 'X'.

Reorder the terms:
4 + -2X + 9X2 = 2X + -2X

Combine like terms: 2X + -2X = 0
4 + -2X + 9X2 = 0

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

Divide each side by '9'.
0.4444444444 + -0.2222222222X + X2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.2222222222X + -0.4444444444 + X2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.2222222222X + X2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.2222222222X + X2 = 0 + -0.4444444444
-0.2222222222X + X2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.2222222222X + X2 = -0.4444444444

The X term is -0.2222222222X.  Take half its coefficient (-0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
-0.2222222222X + 0.01234567901 + X2 = -0.4444444444 + 0.01234567901

Reorder the terms:
0.01234567901 + -0.2222222222X + X2 = -0.4444444444 + 0.01234567901

Combine like terms: -0.4444444444 + 0.01234567901 = -0.43209876539
0.01234567901 + -0.2222222222X + X2 = -0.43209876539

Factor a perfect square on the left side:
(X + -0.1111111111)(X + -0.1111111111) = -0.43209876539

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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