(7-2)(x-8)=(x-4)(3x-2)

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Solution for (7-2)(x-8)=(x-4)(3x-2) equation: 


Simplifying
(7 + -2)(x + -8) = (x + -4)(3x + -2)

Combine like terms: 7 + -2 = 5
(5)(x + -8) = (x + -4)(3x + -2)

Reorder the terms:
5(-8 + x) = (x + -4)(3x + -2)
(-8 * 5 + x * 5) = (x + -4)(3x + -2)
(-40 + 5x) = (x + -4)(3x + -2)

Reorder the terms:
-40 + 5x = (-4 + x)(3x + -2)

Reorder the terms:
-40 + 5x = (-4 + x)(-2 + 3x)

Multiply (-4 + x) * (-2 + 3x)
-40 + 5x = (-4(-2 + 3x) + x(-2 + 3x))
-40 + 5x = ((-2 * -4 + 3x * -4) + x(-2 + 3x))
-40 + 5x = ((8 + -12x) + x(-2 + 3x))
-40 + 5x = (8 + -12x + (-2 * x + 3x * x))
-40 + 5x = (8 + -12x + (-2x + 3x2))

Combine like terms: -12x + -2x = -14x
-40 + 5x = (8 + -14x + 3x2)

Solving
-40 + 5x = 8 + -14x + 3x2

Solving for variable 'x'.

Reorder the terms:
-40 + -8 + 5x + 14x + -3x2 = 8 + -14x + 3x2 + -8 + 14x + -3x2

Combine like terms: -40 + -8 = -48
-48 + 5x + 14x + -3x2 = 8 + -14x + 3x2 + -8 + 14x + -3x2

Combine like terms: 5x + 14x = 19x
-48 + 19x + -3x2 = 8 + -14x + 3x2 + -8 + 14x + -3x2

Reorder the terms:
-48 + 19x + -3x2 = 8 + -8 + -14x + 14x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-48 + 19x + -3x2 = 0 + -14x + 14x + 3x2 + -3x2
-48 + 19x + -3x2 = -14x + 14x + 3x2 + -3x2

Combine like terms: -14x + 14x = 0
-48 + 19x + -3x2 = 0 + 3x2 + -3x2
-48 + 19x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-48 + 19x + -3x2 = 0

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

Divide each side by '-3'.
16 + -6.333333333x + x2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -6.333333333x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -6.333333333x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -6.333333333x + x2 = 0 + -16
-6.333333333x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-6.333333333x + x2 = -16

The x term is -6.333333333x.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333x + 10.02777778 + x2 = -16 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333x + x2 = -16 + 10.02777778

Combine like terms: -16 + 10.02777778 = -5.97222222
10.02777778 + -6.333333333x + x2 = -5.97222222

Factor a perfect square on the left side:
(x + -3.166666667)(x + -3.166666667) = -5.97222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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