0=x^2+0.75x+0.75

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Solution for 0=x^2+0.75x+0.75 equation:


Simplifying
0 = x2 + 0.75x + 0.75

Reorder the terms:
0 = 0.75 + 0.75x + x2

Solving
0 = 0.75 + 0.75x + x2

Solving for variable 'x'.

Combine like terms: 0 + -0.75 = -0.75
-0.75 + -0.75x + -1x2 = 0.75 + 0.75x + x2 + -0.75 + -0.75x + -1x2

Reorder the terms:
-0.75 + -0.75x + -1x2 = 0.75 + -0.75 + 0.75x + -0.75x + x2 + -1x2

Combine like terms: 0.75 + -0.75 = 0.00
-0.75 + -0.75x + -1x2 = 0.00 + 0.75x + -0.75x + x2 + -1x2
-0.75 + -0.75x + -1x2 = 0.75x + -0.75x + x2 + -1x2

Combine like terms: 0.75x + -0.75x = 0.00
-0.75 + -0.75x + -1x2 = 0.00 + x2 + -1x2
-0.75 + -0.75x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-0.75 + -0.75x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
0.75 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.75x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.75x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.75x + x2 = 0 + -0.75
0.75x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.75x + x2 = -0.75

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 = -0.75 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.75 + 0.140625

Combine like terms: -0.75 + 0.140625 = -0.609375
0.140625 + 0.75x + x2 = -0.609375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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