r^2+7r=7r+9

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Solution for r^2+7r=7r+9 equation: 


Simplifying
r2 + 7r = 7r + 9

Reorder the terms:
7r + r2 = 7r + 9

Reorder the terms:
7r + r2 = 9 + 7r

Add '-7r' to each side of the equation.
7r + -7r + r2 = 9 + 7r + -7r

Combine like terms: 7r + -7r = 0
0 + r2 = 9 + 7r + -7r
r2 = 9 + 7r + -7r

Combine like terms: 7r + -7r = 0
r2 = 9 + 0
r2 = 9

Solving
r2 = 9

Solving for variable 'r'.

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

Simplifying
r2 = 9

Take the square root of each side:
r = {-3, 3}

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