(3x-6)*(2x-4)=6x-26

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Solution for (3x-6)*(2x-4)=6x-26 equation: 


Simplifying
(3x + -6)(2x + -4) = 6x + -26

Reorder the terms:
(-6 + 3x)(2x + -4) = 6x + -26

Reorder the terms:
(-6 + 3x)(-4 + 2x) = 6x + -26

Multiply (-6 + 3x) * (-4 + 2x)
(-6(-4 + 2x) + 3x * (-4 + 2x)) = 6x + -26
((-4 * -6 + 2x * -6) + 3x * (-4 + 2x)) = 6x + -26
((24 + -12x) + 3x * (-4 + 2x)) = 6x + -26
(24 + -12x + (-4 * 3x + 2x * 3x)) = 6x + -26
(24 + -12x + (-12x + 6x2)) = 6x + -26

Combine like terms: -12x + -12x = -24x
(24 + -24x + 6x2) = 6x + -26

Reorder the terms:
24 + -24x + 6x2 = -26 + 6x

Solving
24 + -24x + 6x2 = -26 + 6x

Solving for variable 'x'.

Reorder the terms:
24 + 26 + -24x + -6x + 6x2 = -26 + 6x + 26 + -6x

Combine like terms: 24 + 26 = 50
50 + -24x + -6x + 6x2 = -26 + 6x + 26 + -6x

Combine like terms: -24x + -6x = -30x
50 + -30x + 6x2 = -26 + 6x + 26 + -6x

Reorder the terms:
50 + -30x + 6x2 = -26 + 26 + 6x + -6x

Combine like terms: -26 + 26 = 0
50 + -30x + 6x2 = 0 + 6x + -6x
50 + -30x + 6x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
50 + -30x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -15x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(25 + -15x + 3x2)' equal to zero and attempt to solve:

Simplifying
25 + -15x + 3x2 = 0

Solving
25 + -15x + 3x2 = 0

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

Divide each side by '3'.
8.333333333 + -5x + x2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + -5x + -8.333333333 + x2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + -5x + x2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + -5x + x2 = 0 + -8.333333333
-5x + x2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
-5x + x2 = -8.333333333

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 = -8.333333333 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -8.333333333 + 6.25

Combine like terms: -8.333333333 + 6.25 = -2.083333333
6.25 + -5x + x2 = -2.083333333

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -2.083333333

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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