r^2+4r+7=0

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Solution for r^2+4r+7=0 equation: 


Simplifying
r2 + 4r + 7 = 0

Reorder the terms:
7 + 4r + r2 = 0

Solving
7 + 4r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 4r + -7 + r2 = 0 + -7

Reorder the terms:
7 + -7 + 4r + r2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4r + r2 = 0 + -7
4r + r2 = 0 + -7

Combine like terms: 0 + -7 = -7
4r + r2 = -7

The r term is 4r.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4r + 4 + r2 = -7 + 4

Reorder the terms:
4 + 4r + r2 = -7 + 4

Combine like terms: -7 + 4 = -3
4 + 4r + r2 = -3

Factor a perfect square on the left side:
(r + 2)(r + 2) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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