10x^2+6x+7=0

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Solution for 10x^2+6x+7=0 equation:


Simplifying
10x2 + 6x + 7 = 0

Reorder the terms:
7 + 6x + 10x2 = 0

Solving
7 + 6x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
0.7 + 0.6x + x2 = 0

Move the constant term to the right:

Add '-0.7' to each side of the equation.
0.7 + 0.6x + -0.7 + x2 = 0 + -0.7

Reorder the terms:
0.7 + -0.7 + 0.6x + x2 = 0 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.6x + x2 = 0 + -0.7
0.6x + x2 = 0 + -0.7

Combine like terms: 0 + -0.7 = -0.7
0.6x + x2 = -0.7

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 = -0.7 + 0.09

Reorder the terms:
0.09 + 0.6x + x2 = -0.7 + 0.09

Combine like terms: -0.7 + 0.09 = -0.61
0.09 + 0.6x + x2 = -0.61

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = -0.61

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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