4x^2+28x=-61

Solution for 4x^2+28x=-61 equation:

Simplifying
4x2 + 28x = -61

Reorder the terms:
28x + 4x2 = -61

Solving
28x + 4x2 = -61

Solving for variable 'x'.

Reorder the terms:
61 + 28x + 4x2 = -61 + 61

Combine like terms: -61 + 61 = 0
61 + 28x + 4x2 = 0

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

Divide each side by '4'.
15.25 + 7x + x2 = 0

Move the constant term to the right:

Add '-15.25' to each side of the equation.
15.25 + 7x + -15.25 + x2 = 0 + -15.25

Reorder the terms:
15.25 + -15.25 + 7x + x2 = 0 + -15.25

Combine like terms: 15.25 + -15.25 = 0.00
0.00 + 7x + x2 = 0 + -15.25
7x + x2 = 0 + -15.25

Combine like terms: 0 + -15.25 = -15.25
7x + x2 = -15.25

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -15.25 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -15.25 + 12.25

Combine like terms: -15.25 + 12.25 = -3
12.25 + 7x + x2 = -3

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.