6x^2-46x+94=0

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Solution for 6x^2-46x+94=0 equation: 


Simplifying
6x2 + -46x + 94 = 0

Reorder the terms:
94 + -46x + 6x2 = 0

Solving
94 + -46x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(47 + -23x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(47 + -23x + 3x2)' equal to zero and attempt to solve:

Simplifying
47 + -23x + 3x2 = 0

Solving
47 + -23x + 3x2 = 0

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

Divide each side by '3'.
15.66666667 + -7.666666667x + x2 = 0

Move the constant term to the right:

Add '-15.66666667' to each side of the equation.
15.66666667 + -7.666666667x + -15.66666667 + x2 = 0 + -15.66666667

Reorder the terms:
15.66666667 + -15.66666667 + -7.666666667x + x2 = 0 + -15.66666667

Combine like terms: 15.66666667 + -15.66666667 = 0.00000000
0.00000000 + -7.666666667x + x2 = 0 + -15.66666667
-7.666666667x + x2 = 0 + -15.66666667

Combine like terms: 0 + -15.66666667 = -15.66666667
-7.666666667x + x2 = -15.66666667

The x term is -7.666666667x.  Take half its coefficient (-3.833333334).
Square it (14.69444445) and add it to both sides.

Add '14.69444445' to each side of the equation.
-7.666666667x + 14.69444445 + x2 = -15.66666667 + 14.69444445

Reorder the terms:
14.69444445 + -7.666666667x + x2 = -15.66666667 + 14.69444445

Combine like terms: -15.66666667 + 14.69444445 = -0.97222222
14.69444445 + -7.666666667x + x2 = -0.97222222

Factor a perfect square on the left side:
(x + -3.833333334)(x + -3.833333334) = -0.97222222

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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