22x*x=2x-3

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Solution for 22x*x=2x-3 equation:


Simplifying
22x * x = 2x + -3

Multiply x * x
22x2 = 2x + -3

Reorder the terms:
22x2 = -3 + 2x

Solving
22x2 = -3 + 2x

Solving for variable 'x'.

Reorder the terms:
3 + -2x + 22x2 = -3 + 2x + 3 + -2x

Reorder the terms:
3 + -2x + 22x2 = -3 + 3 + 2x + -2x

Combine like terms: -3 + 3 = 0
3 + -2x + 22x2 = 0 + 2x + -2x
3 + -2x + 22x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -2x + 22x2 = 0

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

Divide each side by '22'.
0.1363636364 + -0.09090909091x + x2 = 0

Move the constant term to the right:

Add '-0.1363636364' to each side of the equation.
0.1363636364 + -0.09090909091x + -0.1363636364 + x2 = 0 + -0.1363636364

Reorder the terms:
0.1363636364 + -0.1363636364 + -0.09090909091x + x2 = 0 + -0.1363636364

Combine like terms: 0.1363636364 + -0.1363636364 = 0.0000000000
0.0000000000 + -0.09090909091x + x2 = 0 + -0.1363636364
-0.09090909091x + x2 = 0 + -0.1363636364

Combine like terms: 0 + -0.1363636364 = -0.1363636364
-0.09090909091x + x2 = -0.1363636364

The x term is -0.09090909091x.  Take half its coefficient (-0.04545454546).
Square it (0.002066115703) and add it to both sides.

Add '0.002066115703' to each side of the equation.
-0.09090909091x + 0.002066115703 + x2 = -0.1363636364 + 0.002066115703

Reorder the terms:
0.002066115703 + -0.09090909091x + x2 = -0.1363636364 + 0.002066115703

Combine like terms: -0.1363636364 + 0.002066115703 = -0.134297520697
0.002066115703 + -0.09090909091x + x2 = -0.134297520697

Factor a perfect square on the left side:
(x + -0.04545454546)(x + -0.04545454546) = -0.134297520697

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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