100x^2+20x+6=0

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Solution for 100x^2+20x+6=0 equation:


Simplifying
100x2 + 20x + 6 = 0

Reorder the terms:
6 + 20x + 100x2 = 0

Solving
6 + 20x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 10x + 50x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + 10x + 50x2)' equal to zero and attempt to solve:

Simplifying
3 + 10x + 50x2 = 0

Solving
3 + 10x + 50x2 = 0

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

Divide each side by '50'.
0.06 + 0.2x + x2 = 0.0

Move the constant term to the right:

Add '-0.06' to each side of the equation.
0.06 + 0.2x + -0.06 + x2 = 0.0 + -0.06

Reorder the terms:
0.06 + -0.06 + 0.2x + x2 = 0.0 + -0.06

Combine like terms: 0.06 + -0.06 = 0.00
0.00 + 0.2x + x2 = 0.0 + -0.06
0.2x + x2 = 0.0 + -0.06

Combine like terms: 0.0 + -0.06 = -0.06
0.2x + x2 = -0.06

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -0.06 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -0.06 + 0.01

Combine like terms: -0.06 + 0.01 = -0.05
0.01 + 0.2x + x2 = -0.05

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -0.05

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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