2x^2+10x^2+5x+25=0

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Solution for 2x^2+10x^2+5x+25=0 equation:


Simplifying
2x2 + 10x2 + 5x + 25 = 0

Reorder the terms:
25 + 5x + 2x2 + 10x2 = 0

Combine like terms: 2x2 + 10x2 = 12x2
25 + 5x + 12x2 = 0

Solving
25 + 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'.
2.083333333 + 0.4166666667x + x2 = 0

Move the constant term to the right:

Add '-2.083333333' to each side of the equation.
2.083333333 + 0.4166666667x + -2.083333333 + x2 = 0 + -2.083333333

Reorder the terms:
2.083333333 + -2.083333333 + 0.4166666667x + x2 = 0 + -2.083333333

Combine like terms: 2.083333333 + -2.083333333 = 0.000000000
0.000000000 + 0.4166666667x + x2 = 0 + -2.083333333
0.4166666667x + x2 = 0 + -2.083333333

Combine like terms: 0 + -2.083333333 = -2.083333333
0.4166666667x + x2 = -2.083333333

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 = -2.083333333 + 0.04340277781

Reorder the terms:
0.04340277781 + 0.4166666667x + x2 = -2.083333333 + 0.04340277781

Combine like terms: -2.083333333 + 0.04340277781 = -2.03993055519
0.04340277781 + 0.4166666667x + x2 = -2.03993055519

Factor a perfect square on the left side:
(x + 0.2083333334)(x + 0.2083333334) = -2.03993055519

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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