10x^2+1=-6x

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Solution for 10x^2+1=-6x equation:


Simplifying
10x2 + 1 = -6x

Reorder the terms:
1 + 10x2 = -6x

Solving
1 + 10x2 = -6x

Solving for variable 'x'.

Reorder the terms:
1 + 6x + 10x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 6x + 10x2 = 0

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

Divide each side by '10'.
0.1 + 0.6x + x2 = 0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + 0.6x + -0.1 + x2 = 0 + -0.1

Reorder the terms:
0.1 + -0.1 + 0.6x + x2 = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.6x + x2 = 0 + -0.1
0.6x + x2 = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
0.6x + x2 = -0.1

The x term is 0.6x.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6x + 0.09 + x2 = -0.1 + 0.09

Reorder the terms:
0.09 + 0.6x + x2 = -0.1 + 0.09

Combine like terms: -0.1 + 0.09 = -0.01
0.09 + 0.6x + x2 = -0.01

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = -0.01

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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