r^2+r+48=

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Solution for r^2+r+48= equation:


Simplifying
r2 + r + 48 = 0

Reorder the terms:
48 + r + r2 = 0

Solving
48 + r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + r + -48 + r2 = 0 + -48

Reorder the terms:
48 + -48 + r + r2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + r + r2 = 0 + -48
r + r2 = 0 + -48

Combine like terms: 0 + -48 = -48
r + r2 = -48

The r term is r.  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.
r + 0.25 + r2 = -48 + 0.25

Reorder the terms:
0.25 + r + r2 = -48 + 0.25

Combine like terms: -48 + 0.25 = -47.75
0.25 + r + r2 = -47.75

Factor a perfect square on the left side:
(r + 0.5)(r + 0.5) = -47.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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