2x^2+3x=-3+5x

Solution for 2x^2+3x=-3+5x equation:

Simplifying
2x2 + 3x = -3 + 5x

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

Solving
3x + 2x2 = -3 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: -3 + 3 = 0
3 + -2x + 2x2 = 0 + 5x + -5x
3 + -2x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -2x + 2x2 = 0

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

Divide each side by '2'.
1.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1x + x2 = 0 + -1.5
-1x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1x + x2 = -1.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + -1x + x2 = -1.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.