0=R^2+4R+8

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Solution for 0=R^2+4R+8 equation: 


Simplifying
0 = R2 + 4R + 8

Reorder the terms:
0 = 8 + 4R + R2

Solving
0 = 8 + 4R + R2

Solving for variable 'R'.

Combine like terms: 0 + -8 = -8
-8 + -4R + -1R2 = 8 + 4R + R2 + -8 + -4R + -1R2

Reorder the terms:
-8 + -4R + -1R2 = 8 + -8 + 4R + -4R + R2 + -1R2

Combine like terms: 8 + -8 = 0
-8 + -4R + -1R2 = 0 + 4R + -4R + R2 + -1R2
-8 + -4R + -1R2 = 4R + -4R + R2 + -1R2

Combine like terms: 4R + -4R = 0
-8 + -4R + -1R2 = 0 + R2 + -1R2
-8 + -4R + -1R2 = R2 + -1R2

Combine like terms: R2 + -1R2 = 0
-8 + -4R + -1R2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 4R + R2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 4R + R2)' equal to zero and attempt to solve:

Simplifying
8 + 4R + R2 = 0

Solving
8 + 4R + R2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 4R + -8 + R2 = 0 + -8

Reorder the terms:
8 + -8 + 4R + R2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4R + R2 = 0 + -8
4R + R2 = 0 + -8

Combine like terms: 0 + -8 = -8
4R + R2 = -8

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 = -8 + 4

Reorder the terms:
4 + 4R + R2 = -8 + 4

Combine like terms: -8 + 4 = -4
4 + 4R + R2 = -4

Factor a perfect square on the left side:
(R + 2)(R + 2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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