12x^2+5x+10=0

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Solution for 12x^2+5x+10=0 equation: 


Simplifying
12x2 + 5x + 10 = 0

Reorder the terms:
10 + 5x + 12x2 = 0

Solving
10 + 5x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
0.8333333333 + 0.4166666667x + x2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + 0.4166666667x + -0.8333333333 + x2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + 0.4166666667x + x2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + 0.4166666667x + x2 = 0 + -0.8333333333
0.4166666667x + x2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
0.4166666667x + x2 = -0.8333333333

The x term is 0.4166666667x.  Take half its coefficient (0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
0.4166666667x + 0.04340277781 + x2 = -0.8333333333 + 0.04340277781

Reorder the terms:
0.04340277781 + 0.4166666667x + x2 = -0.8333333333 + 0.04340277781

Combine like terms: -0.8333333333 + 0.04340277781 = -0.78993055549
0.04340277781 + 0.4166666667x + x2 = -0.78993055549

Factor a perfect square on the left side:
(x + 0.2083333334)(x + 0.2083333334) = -0.78993055549

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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