0.3=x^2+10x+33

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Solution for 0.3=x^2+10x+33 equation: 


Simplifying
0.3 = x2 + 10x + 33

Reorder the terms:
0.3 = 33 + 10x + x2

Solving
0.3 = 33 + 10x + x2

Solving for variable 'x'.

Combine like terms: 0.3 + -33 = -32.7
-32.7 + -10x + -1x2 = 33 + 10x + x2 + -33 + -10x + -1x2

Reorder the terms:
-32.7 + -10x + -1x2 = 33 + -33 + 10x + -10x + x2 + -1x2

Combine like terms: 33 + -33 = 0
-32.7 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2
-32.7 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
-32.7 + -10x + -1x2 = 0 + x2 + -1x2
-32.7 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32.7 + -10x + -1x2 = 0

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

Divide each side by '-1'.
32.7 + 10x + x2 = 0

Move the constant term to the right:

Add '-32.7' to each side of the equation.
32.7 + 10x + -32.7 + x2 = 0 + -32.7

Reorder the terms:
32.7 + -32.7 + 10x + x2 = 0 + -32.7

Combine like terms: 32.7 + -32.7 = 0.0
0.0 + 10x + x2 = 0 + -32.7
10x + x2 = 0 + -32.7

Combine like terms: 0 + -32.7 = -32.7
10x + x2 = -32.7

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -32.7 + 25

Reorder the terms:
25 + 10x + x2 = -32.7 + 25

Combine like terms: -32.7 + 25 = -7.7
25 + 10x + x2 = -7.7

Factor a perfect square on the left side:
(x + 5)(x + 5) = -7.7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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