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

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


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

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

Reorder the terms for easier multiplication:
5 * 2x(-1 + x) = 2x + -5

Multiply 5 * 2
10x(-1 + x) = 2x + -5
(-1 * 10x + x * 10x) = 2x + -5
(-10x + 10x2) = 2x + -5

Reorder the terms:
-10x + 10x2 = -5 + 2x

Solving
-10x + 10x2 = -5 + 2x

Solving for variable 'x'.

Reorder the terms:
5 + -10x + -2x + 10x2 = -5 + 2x + 5 + -2x

Combine like terms: -10x + -2x = -12x
5 + -12x + 10x2 = -5 + 2x + 5 + -2x

Reorder the terms:
5 + -12x + 10x2 = -5 + 5 + 2x + -2x

Combine like terms: -5 + 5 = 0
5 + -12x + 10x2 = 0 + 2x + -2x
5 + -12x + 10x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -12x + 10x2 = 0

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

Divide each side by '10'.
0.5 + -1.2x + x2 = 0.0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.2x + -0.5 + x2 = 0.0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.2x + x2 = 0.0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.2x + x2 = 0.0 + -0.5
-1.2x + x2 = 0.0 + -0.5

Combine like terms: 0.0 + -0.5 = -0.5
-1.2x + x2 = -0.5

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -0.5 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -0.5 + 0.36

Combine like terms: -0.5 + 0.36 = -0.14
0.36 + -1.2x + x2 = -0.14

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -0.14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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