.6x^2-.6x+4.2=0

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Solution for .6x^2-.6x+4.2=0 equation:


Simplifying
0.6x2 + -0.6x + 4.2 = 0

Reorder the terms:
4.2 + -0.6x + 0.6x2 = 0

Solving
4.2 + -0.6x + 0.6x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.6'.
7 + -1x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -1x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -1x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x + x2 = 0 + -7
-1x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x + x2 = -7

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -7 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -7 + 0.25

Combine like terms: -7 + 0.25 = -6.75
0.25 + -1x + x2 = -6.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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