r^2+9r=9r+16

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Solution for r^2+9r=9r+16 equation: 


Simplifying
r2 + 9r = 9r + 16

Reorder the terms:
9r + r2 = 9r + 16

Reorder the terms:
9r + r2 = 16 + 9r

Add '-9r' to each side of the equation.
9r + -9r + r2 = 16 + 9r + -9r

Combine like terms: 9r + -9r = 0
0 + r2 = 16 + 9r + -9r
r2 = 16 + 9r + -9r

Combine like terms: 9r + -9r = 0
r2 = 16 + 0
r2 = 16

Solving
r2 = 16

Solving for variable 'r'.

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

Simplifying
r2 = 16

Take the square root of each side:
r = {-4, 4}

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