=x^2-3.5x+36

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Solution for =x^2-3.5x+36 equation: 


Simplifying
0 = x2 + -3.5x + 36

Reorder the terms:
0 = 36 + -3.5x + x2

Solving
0 = 36 + -3.5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -36 = -36
-36 + 3.5x + -1x2 = 36 + -3.5x + x2 + -36 + 3.5x + -1x2

Reorder the terms:
-36 + 3.5x + -1x2 = 36 + -36 + -3.5x + 3.5x + x2 + -1x2

Combine like terms: 36 + -36 = 0
-36 + 3.5x + -1x2 = 0 + -3.5x + 3.5x + x2 + -1x2
-36 + 3.5x + -1x2 = -3.5x + 3.5x + x2 + -1x2

Combine like terms: -3.5x + 3.5x = 0.0
-36 + 3.5x + -1x2 = 0.0 + x2 + -1x2
-36 + 3.5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + 3.5x + -1x2 = 0

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

Divide each side by '-1'.
36 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -3.5x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -3.5x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -3.5x + x2 = 0 + -36
-3.5x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-3.5x + x2 = -36

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -36 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -36 + 3.0625

Combine like terms: -36 + 3.0625 = -32.9375
3.0625 + -3.5x + x2 = -32.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -32.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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