=(0.1x^2+0.3x+1)

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Solution for =(0.1x^2+0.3x+1) equation:


Simplifying
0 = (0.1x2 + 0.3x + 1)

Reorder the terms:
0 = (1 + 0.3x + 0.1x2)

Remove parenthesis around (1 + 0.3x + 0.1x2)
0 = 1 + 0.3x + 0.1x2

Solving
0 = 1 + 0.3x + 0.1x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + -0.3x + -0.1x2 = 1 + 0.3x + 0.1x2 + -1 + -0.3x + -0.1x2

Reorder the terms:
-1 + -0.3x + -0.1x2 = 1 + -1 + 0.3x + -0.3x + 0.1x2 + -0.1x2

Combine like terms: 1 + -1 = 0
-1 + -0.3x + -0.1x2 = 0 + 0.3x + -0.3x + 0.1x2 + -0.1x2
-1 + -0.3x + -0.1x2 = 0.3x + -0.3x + 0.1x2 + -0.1x2

Combine like terms: 0.3x + -0.3x = 0.0
-1 + -0.3x + -0.1x2 = 0.0 + 0.1x2 + -0.1x2
-1 + -0.3x + -0.1x2 = 0.1x2 + -0.1x2

Combine like terms: 0.1x2 + -0.1x2 = 0.0
-1 + -0.3x + -0.1x2 = 0.0

Begin completing the square.  Divide all terms by
-0.1 the coefficient of the squared term: 

Divide each side by '-0.1'.
10 + 3x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 3x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 3x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x + x2 = 0 + -10
3x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
3x + x2 = -10

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -10 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + 3x + x2 = -7.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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