2x-5=2x*x+2

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Solution for 2x-5=2x*x+2 equation: 


Simplifying
2x + -5 = 2x * x + 2

Reorder the terms:
-5 + 2x = 2x * x + 2

Multiply x * x
-5 + 2x = 2x2 + 2

Reorder the terms:
-5 + 2x = 2 + 2x2

Solving
-5 + 2x = 2 + 2x2

Solving for variable 'x'.

Reorder the terms:
-5 + -2 + 2x + -2x2 = 2 + 2x2 + -2 + -2x2

Combine like terms: -5 + -2 = -7
-7 + 2x + -2x2 = 2 + 2x2 + -2 + -2x2

Reorder the terms:
-7 + 2x + -2x2 = 2 + -2 + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-7 + 2x + -2x2 = 0 + 2x2 + -2x2
-7 + 2x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + 2x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1x + x2 = 0 + -3.5
-1x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1x + x2 = -3.5

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 = -3.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -3.5 + 0.25

Combine like terms: -3.5 + 0.25 = -3.25
0.25 + -1x + x2 = -3.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -3.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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