1000x^2-110x+6=0

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Solution for 1000x^2-110x+6=0 equation: 


Simplifying
1000x2 + -110x + 6 = 0

Reorder the terms:
6 + -110x + 1000x2 = 0

Solving
6 + -110x + 1000x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -55x + 500x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -55x + 500x2)' equal to zero and attempt to solve:

Simplifying
3 + -55x + 500x2 = 0

Solving
3 + -55x + 500x2 = 0

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

Divide each side by '500'.
0.006 + -0.11x + x2 = 0.00

Move the constant term to the right:

Add '-0.006' to each side of the equation.
0.006 + -0.11x + -0.006 + x2 = 0.00 + -0.006

Reorder the terms:
0.006 + -0.006 + -0.11x + x2 = 0.00 + -0.006

Combine like terms: 0.006 + -0.006 = 0.000
0.000 + -0.11x + x2 = 0.00 + -0.006
-0.11x + x2 = 0.00 + -0.006

Combine like terms: 0.00 + -0.006 = -0.006
-0.11x + x2 = -0.006

The x term is -0.11x.  Take half its coefficient (-0.055).
Square it (0.003025) and add it to both sides.

Add '0.003025' to each side of the equation.
-0.11x + 0.003025 + x2 = -0.006 + 0.003025

Reorder the terms:
0.003025 + -0.11x + x2 = -0.006 + 0.003025

Combine like terms: -0.006 + 0.003025 = -0.002975
0.003025 + -0.11x + x2 = -0.002975

Factor a perfect square on the left side:
(x + -0.055)(x + -0.055) = -0.002975

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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