12x^2+10x+100=0

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Solution for 12x^2+10x+100=0 equation: 


Simplifying
12x2 + 10x + 100 = 0

Reorder the terms:
100 + 10x + 12x2 = 0

Solving
100 + 10x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + 5x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(50 + 5x + 6x2)' equal to zero and attempt to solve:

Simplifying
50 + 5x + 6x2 = 0

Solving
50 + 5x + 6x2 = 0

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

Divide each side by '6'.
8.333333333 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + 0.8333333333x + -8.333333333 + x2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + 0.8333333333x + x2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + 0.8333333333x + x2 = 0 + -8.333333333
0.8333333333x + x2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
0.8333333333x + x2 = -8.333333333

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -8.333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -8.333333333 + 0.1736111111

Combine like terms: -8.333333333 + 0.1736111111 = -8.1597222219
0.1736111111 + 0.8333333333x + x2 = -8.1597222219

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -8.1597222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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