6x^2-40x+400=0

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Solution for 6x^2-40x+400=0 equation: 


Simplifying
6x2 + -40x + 400 = 0

Reorder the terms:
400 + -40x + 6x2 = 0

Solving
400 + -40x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(200 + -20x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(200 + -20x + 3x2)' equal to zero and attempt to solve:

Simplifying
200 + -20x + 3x2 = 0

Solving
200 + -20x + 3x2 = 0

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

Divide each side by '3'.
66.66666667 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-66.66666667' to each side of the equation.
66.66666667 + -6.666666667x + -66.66666667 + x2 = 0 + -66.66666667

Reorder the terms:
66.66666667 + -66.66666667 + -6.666666667x + x2 = 0 + -66.66666667

Combine like terms: 66.66666667 + -66.66666667 = 0.00000000
0.00000000 + -6.666666667x + x2 = 0 + -66.66666667
-6.666666667x + x2 = 0 + -66.66666667

Combine like terms: 0 + -66.66666667 = -66.66666667
-6.666666667x + x2 = -66.66666667

The x term is -6.666666667x.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x + 11.11111112 + x2 = -66.66666667 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -66.66666667 + 11.11111112

Combine like terms: -66.66666667 + 11.11111112 = -55.55555555
11.11111112 + -6.666666667x + x2 = -55.55555555

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = -55.55555555

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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