5x^2+15x+50=x-2

Solution for 5x^2+15x+50=x-2 equation:

Simplifying
5x2 + 15x + 50 = x + -2

Reorder the terms:
50 + 15x + 5x2 = x + -2

Reorder the terms:
50 + 15x + 5x2 = -2 + x

Solving
50 + 15x + 5x2 = -2 + x

Solving for variable 'x'.

Reorder the terms:
50 + 2 + 15x + -1x + 5x2 = -2 + x + 2 + -1x

Combine like terms: 50 + 2 = 52
52 + 15x + -1x + 5x2 = -2 + x + 2 + -1x

Combine like terms: 15x + -1x = 14x
52 + 14x + 5x2 = -2 + x + 2 + -1x

Reorder the terms:
52 + 14x + 5x2 = -2 + 2 + x + -1x

Combine like terms: -2 + 2 = 0
52 + 14x + 5x2 = 0 + x + -1x
52 + 14x + 5x2 = x + -1x

Combine like terms: x + -1x = 0
52 + 14x + 5x2 = 0

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

Divide each side by '5'.
10.4 + 2.8x + x2 = 0

Move the constant term to the right:

Add '-10.4' to each side of the equation.
10.4 + 2.8x + -10.4 + x2 = 0 + -10.4

Reorder the terms:
10.4 + -10.4 + 2.8x + x2 = 0 + -10.4

Combine like terms: 10.4 + -10.4 = 0.0
0.0 + 2.8x + x2 = 0 + -10.4
2.8x + x2 = 0 + -10.4

Combine like terms: 0 + -10.4 = -10.4
2.8x + x2 = -10.4

The x term is 2.8x.  Take half its coefficient (1.4).
Square it (1.96) and add it to both sides.

Add '1.96' to each side of the equation.
2.8x + 1.96 + x2 = -10.4 + 1.96

Reorder the terms:
1.96 + 2.8x + x2 = -10.4 + 1.96

Combine like terms: -10.4 + 1.96 = -8.44
1.96 + 2.8x + x2 = -8.44

Factor a perfect square on the left side:
(x + 1.4)(x + 1.4) = -8.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.