0.5x-9=5+4x*x

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Solution for 0.5x-9=5+4x*x equation: 


Simplifying
0.5x + -9 = 5 + 4x * x

Reorder the terms:
-9 + 0.5x = 5 + 4x * x

Multiply x * x
-9 + 0.5x = 5 + 4x2

Solving
-9 + 0.5x = 5 + 4x2

Solving for variable 'x'.

Reorder the terms:
-9 + -5 + 0.5x + -4x2 = 5 + 4x2 + -5 + -4x2

Combine like terms: -9 + -5 = -14
-14 + 0.5x + -4x2 = 5 + 4x2 + -5 + -4x2

Reorder the terms:
-14 + 0.5x + -4x2 = 5 + -5 + 4x2 + -4x2

Combine like terms: 5 + -5 = 0
-14 + 0.5x + -4x2 = 0 + 4x2 + -4x2
-14 + 0.5x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-14 + 0.5x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
3.5 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -0.125x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -0.125x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -0.125x + x2 = 0 + -3.5
-0.125x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-0.125x + x2 = -3.5

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -3.5 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -3.5 + 0.00390625

Combine like terms: -3.5 + 0.00390625 = -3.49609375
0.00390625 + -0.125x + x2 = -3.49609375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -3.49609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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