6x^2-30x+44=0

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Solution for 6x^2-30x+44=0 equation: 


Simplifying
6x2 + -30x + 44 = 0

Reorder the terms:
44 + -30x + 6x2 = 0

Solving
44 + -30x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + -15x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(22 + -15x + 3x2)' equal to zero and attempt to solve:

Simplifying
22 + -15x + 3x2 = 0

Solving
22 + -15x + 3x2 = 0

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

Divide each side by '3'.
7.333333333 + -5x + x2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + -5x + -7.333333333 + x2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + -5x + x2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + -5x + x2 = 0 + -7.333333333
-5x + x2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
-5x + x2 = -7.333333333

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -7.333333333 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -7.333333333 + 6.25

Combine like terms: -7.333333333 + 6.25 = -1.083333333
6.25 + -5x + x2 = -1.083333333

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -1.083333333

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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