4.25x+3=-3x^2

Solution for 4.25x+3=-3x^2 equation:

Simplifying
4.25x + 3 = -3x2

Reorder the terms:
3 + 4.25x = -3x2

Solving
3 + 4.25x = -3x2

Solving for variable 'x'.

Combine like terms: -3x2 + 3x2 = 0
3 + 4.25x + 3x2 = 0

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

Divide each side by '3'.
1 + 1.416666667x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.416666667x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.416666667x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.416666667x + x2 = 0 + -1
1.416666667x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.416666667x + x2 = -1

The x term is 1.416666667x.  Take half its coefficient (0.7083333335).
Square it (0.5017361113) and add it to both sides.

Add '0.5017361113' to each side of the equation.
1.416666667x + 0.5017361113 + x2 = -1 + 0.5017361113

Reorder the terms:
0.5017361113 + 1.416666667x + x2 = -1 + 0.5017361113

Combine like terms: -1 + 0.5017361113 = -0.4982638887
0.5017361113 + 1.416666667x + x2 = -0.4982638887

Factor a perfect square on the left side:
(x + 0.7083333335)(x + 0.7083333335) = -0.4982638887

Can't calculate square root of the right side.

The solution to this equation could not be determined.