4x^2+4x=-17

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Solution for 4x^2+4x=-17 equation:


Simplifying
4x2 + 4x = -17

Reorder the terms:
4x + 4x2 = -17

Solving
4x + 4x2 = -17

Solving for variable 'x'.

Reorder the terms:
17 + 4x + 4x2 = -17 + 17

Combine like terms: -17 + 17 = 0
17 + 4x + 4x2 = 0

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

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

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + x + x2 = 0 + -4.25
x + x2 = 0 + -4.25

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

The x term is x.  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.
 + 0.25 + x2 = -4.25 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -4.25 + 0.25

Combine like terms: -4.25 + 0.25 = -4
1.25 + x2 = -4

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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