2.04-5.1x+3.75x^2=0

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Solution for 2.04-5.1x+3.75x^2=0 equation:


Simplifying
2.04 + -5.1x + 3.75x2 = 0

Solving
2.04 + -5.1x + 3.75x2 = 0

Solving for variable 'x'.

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

Divide each side by '3.75'.
0.544 + -1.36x + x2 = 0

Move the constant term to the right:

Add '-0.544' to each side of the equation.
0.544 + -1.36x + -0.544 + x2 = 0 + -0.544

Reorder the terms:
0.544 + -0.544 + -1.36x + x2 = 0 + -0.544

Combine like terms: 0.544 + -0.544 = 0.000
0.000 + -1.36x + x2 = 0 + -0.544
-1.36x + x2 = 0 + -0.544

Combine like terms: 0 + -0.544 = -0.544
-1.36x + x2 = -0.544

The x term is -1.36x.  Take half its coefficient (-0.68).
Square it (0.4624) and add it to both sides.

Add '0.4624' to each side of the equation.
-1.36x + 0.4624 + x2 = -0.544 + 0.4624

Reorder the terms:
0.4624 + -1.36x + x2 = -0.544 + 0.4624

Combine like terms: -0.544 + 0.4624 = -0.0816
0.4624 + -1.36x + x2 = -0.0816

Factor a perfect square on the left side:
(x + -0.68)(x + -0.68) = -0.0816

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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