5x(x-1)+3=3x+2(-2+x)

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Solution for 5x(x-1)+3=3x+2(-2+x) equation: 


Simplifying
5x(x + -1) + 3 = 3x + 2(-2 + x)

Reorder the terms:
5x(-1 + x) + 3 = 3x + 2(-2 + x)
(-1 * 5x + x * 5x) + 3 = 3x + 2(-2 + x)
(-5x + 5x2) + 3 = 3x + 2(-2 + x)

Reorder the terms:
3 + -5x + 5x2 = 3x + 2(-2 + x)
3 + -5x + 5x2 = 3x + (-2 * 2 + x * 2)
3 + -5x + 5x2 = 3x + (-4 + 2x)

Reorder the terms:
3 + -5x + 5x2 = -4 + 3x + 2x

Combine like terms: 3x + 2x = 5x
3 + -5x + 5x2 = -4 + 5x

Solving
3 + -5x + 5x2 = -4 + 5x

Solving for variable 'x'.

Reorder the terms:
3 + 4 + -5x + -5x + 5x2 = -4 + 5x + 4 + -5x

Combine like terms: 3 + 4 = 7
7 + -5x + -5x + 5x2 = -4 + 5x + 4 + -5x

Combine like terms: -5x + -5x = -10x
7 + -10x + 5x2 = -4 + 5x + 4 + -5x

Reorder the terms:
7 + -10x + 5x2 = -4 + 4 + 5x + -5x

Combine like terms: -4 + 4 = 0
7 + -10x + 5x2 = 0 + 5x + -5x
7 + -10x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -10x + 5x2 = 0

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

Divide each side by '5'.
1.4 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.4' to each side of the equation.
1.4 + -2x + -1.4 + x2 = 0 + -1.4

Reorder the terms:
1.4 + -1.4 + -2x + x2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -2x + x2 = 0 + -1.4
-2x + x2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
-2x + x2 = -1.4

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 = -1.4 + 1

Reorder the terms:
1 + -2x + x2 = -1.4 + 1

Combine like terms: -1.4 + 1 = -0.4
1 + -2x + x2 = -0.4

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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