10x^2+[-2]+3x^2+5x+5=

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Solution for 10x^2+[-2]+3x^2+5x+5= equation:


Simplifying
10x2 + [-2] + 3x2 + 5x + 5 = 0
10x2 + -2 + 3x2 + 5x + 5 = 0

Reorder the terms:
-2 + 5 + 5x + 10x2 + 3x2 = 0

Combine like terms: -2 + 5 = 3
3 + 5x + 10x2 + 3x2 = 0

Combine like terms: 10x2 + 3x2 = 13x2
3 + 5x + 13x2 = 0

Solving
3 + 5x + 13x2 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
0.2307692308 + 0.3846153846x + x2 = 0

Move the constant term to the right:

Add '-0.2307692308' to each side of the equation.
0.2307692308 + 0.3846153846x + -0.2307692308 + x2 = 0 + -0.2307692308

Reorder the terms:
0.2307692308 + -0.2307692308 + 0.3846153846x + x2 = 0 + -0.2307692308

Combine like terms: 0.2307692308 + -0.2307692308 = 0.0000000000
0.0000000000 + 0.3846153846x + x2 = 0 + -0.2307692308
0.3846153846x + x2 = 0 + -0.2307692308

Combine like terms: 0 + -0.2307692308 = -0.2307692308
0.3846153846x + x2 = -0.2307692308

The x term is 0.3846153846x.  Take half its coefficient (0.1923076923).
Square it (0.03698224852) and add it to both sides.

Add '0.03698224852' to each side of the equation.
0.3846153846x + 0.03698224852 + x2 = -0.2307692308 + 0.03698224852

Reorder the terms:
0.03698224852 + 0.3846153846x + x2 = -0.2307692308 + 0.03698224852

Combine like terms: -0.2307692308 + 0.03698224852 = -0.19378698228
0.03698224852 + 0.3846153846x + x2 = -0.19378698228

Factor a perfect square on the left side:
(x + 0.1923076923)(x + 0.1923076923) = -0.19378698228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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