r^2+5=-10r+r^2

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Solution for r^2+5=-10r+r^2 equation:


Simplifying
r2 + 5 = -10r + r2

Reorder the terms:
5 + r2 = -10r + r2

Add '-1r2' to each side of the equation.
5 + r2 + -1r2 = -10r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
5 + 0 = -10r + r2 + -1r2
5 = -10r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
5 = -10r + 0
5 = -10r

Solving
5 = -10r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '10r' to each side of the equation.
5 + 10r = -10r + 10r

Combine like terms: -10r + 10r = 0
5 + 10r = 0

Add '-5' to each side of the equation.
5 + -5 + 10r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 10r = 0 + -5
10r = 0 + -5

Combine like terms: 0 + -5 = -5
10r = -5

Divide each side by '10'.
r = -0.5

Simplifying
r = -0.5

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