5x(2x+2)=x+(3x-5)

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Solution for 5x(2x+2)=x+(3x-5) equation: 


Simplifying
5x(2x + 2) = x + (3x + -5)

Reorder the terms:
5x(2 + 2x) = x + (3x + -5)
(2 * 5x + 2x * 5x) = x + (3x + -5)
(10x + 10x2) = x + (3x + -5)

Reorder the terms:
10x + 10x2 = x + (-5 + 3x)

Remove parenthesis around (-5 + 3x)
10x + 10x2 = x + -5 + 3x

Reorder the terms:
10x + 10x2 = -5 + x + 3x

Combine like terms: x + 3x = 4x
10x + 10x2 = -5 + 4x

Solving
10x + 10x2 = -5 + 4x

Solving for variable 'x'.

Reorder the terms:
5 + 10x + -4x + 10x2 = -5 + 4x + 5 + -4x

Combine like terms: 10x + -4x = 6x
5 + 6x + 10x2 = -5 + 4x + 5 + -4x

Reorder the terms:
5 + 6x + 10x2 = -5 + 5 + 4x + -4x

Combine like terms: -5 + 5 = 0
5 + 6x + 10x2 = 0 + 4x + -4x
5 + 6x + 10x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 6x + 10x2 = 0

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

Divide each side by '10'.
0.5 + 0.6x + x2 = 0.0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 0.6x + -0.5 + x2 = 0.0 + -0.5

Reorder the terms:
0.5 + -0.5 + 0.6x + x2 = 0.0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.6x + x2 = 0.0 + -0.5
0.6x + x2 = 0.0 + -0.5

Combine like terms: 0.0 + -0.5 = -0.5
0.6x + x2 = -0.5

The x term is 0.6x.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6x + 0.09 + x2 = -0.5 + 0.09

Reorder the terms:
0.09 + 0.6x + x2 = -0.5 + 0.09

Combine like terms: -0.5 + 0.09 = -0.41
0.09 + 0.6x + x2 = -0.41

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = -0.41

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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