2x*(x-1)-(-3x)+3=0

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Solution for 2x*(x-1)-(-3x)+3=0 equation:


Simplifying
2x(x + -1) + -1(-3x) + 3 = 0

Reorder the terms:
2x(-1 + x) + -1(-3x) + 3 = 0
(-1 * 2x + x * 2x) + -1(-3x) + 3 = 0
(-2x + 2x2) + -1(-3x) + 3 = 0

Remove parenthesis around (-3x)
-2x + 2x2 + -1 * -3x + 3 = 0

Multiply -1 * -3
-2x + 2x2 + 3x + 3 = 0

Reorder the terms:
3 + -2x + 3x + 2x2 = 0

Combine like terms: -2x + 3x = 1x
3 + 1x + 2x2 = 0

Solving
3 + 1x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
1.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.5x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.5x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x + x2 = 0 + -1.5
0.5x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.5x + x2 = -1.5

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -1.5 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -1.5 + 0.0625

Combine like terms: -1.5 + 0.0625 = -1.4375
0.0625 + 0.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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