6(x-2)-x=5x(x-1)

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Solution for 6(x-2)-x=5x(x-1) equation:


Simplifying
6(x + -2) + -1x = 5x(x + -1)

Reorder the terms:
6(-2 + x) + -1x = 5x(x + -1)
(-2 * 6 + x * 6) + -1x = 5x(x + -1)
(-12 + 6x) + -1x = 5x(x + -1)

Combine like terms: 6x + -1x = 5x
-12 + 5x = 5x(x + -1)

Reorder the terms:
-12 + 5x = 5x(-1 + x)
-12 + 5x = (-1 * 5x + x * 5x)
-12 + 5x = (-5x + 5x2)

Solving
-12 + 5x = -5x + 5x2

Solving for variable 'x'.

Combine like terms: 5x + 5x = 10x
-12 + 10x + -5x2 = -5x + 5x2 + 5x + -5x2

Reorder the terms:
-12 + 10x + -5x2 = -5x + 5x + 5x2 + -5x2

Combine like terms: -5x + 5x = 0
-12 + 10x + -5x2 = 0 + 5x2 + -5x2
-12 + 10x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-12 + 10x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
2.4 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.4' to each side of the equation.
2.4 + -2x + -2.4 + x2 = 0 + -2.4

Reorder the terms:
2.4 + -2.4 + -2x + x2 = 0 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -2x + x2 = 0 + -2.4
-2x + x2 = 0 + -2.4

Combine like terms: 0 + -2.4 = -2.4
-2x + x2 = -2.4

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2.4 + 1

Reorder the terms:
1 + -2x + x2 = -2.4 + 1

Combine like terms: -2.4 + 1 = -1.4
1 + -2x + x2 = -1.4

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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