r^2+35=-2r

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Solution for r^2+35=-2r equation:


Simplifying
r2 + 35 = -2r

Reorder the terms:
35 + r2 = -2r

Solving
35 + r2 = -2r

Solving for variable 'r'.

Reorder the terms:
35 + 2r + r2 = -2r + 2r

Combine like terms: -2r + 2r = 0
35 + 2r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 2r + -35 + r2 = 0 + -35

Reorder the terms:
35 + -35 + 2r + r2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 2r + r2 = 0 + -35
2r + r2 = 0 + -35

Combine like terms: 0 + -35 = -35
2r + r2 = -35

The r term is 2r.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2r + 1 + r2 = -35 + 1

Reorder the terms:
1 + 2r + r2 = -35 + 1

Combine like terms: -35 + 1 = -34
1 + 2r + r2 = -34

Factor a perfect square on the left side:
(r + 1)(r + 1) = -34

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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