r(r-2)-r=r(r+1)-8

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Solution for r(r-2)-r=r(r+1)-8 equation: 


Simplifying
r(r + -2) + -1r = r(r + 1) + -8

Reorder the terms:
r(-2 + r) + -1r = r(r + 1) + -8
(-2 * r + r * r) + -1r = r(r + 1) + -8
(-2r + r2) + -1r = r(r + 1) + -8

Reorder the terms:
-2r + -1r + r2 = r(r + 1) + -8

Combine like terms: -2r + -1r = -3r
-3r + r2 = r(r + 1) + -8

Reorder the terms:
-3r + r2 = r(1 + r) + -8
-3r + r2 = (1 * r + r * r) + -8
-3r + r2 = (1r + r2) + -8

Reorder the terms:
-3r + r2 = -8 + 1r + r2

Add '-1r2' to each side of the equation.
-3r + r2 + -1r2 = -8 + 1r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-3r + 0 = -8 + 1r + r2 + -1r2
-3r = -8 + 1r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-3r = -8 + 1r + 0
-3r = -8 + 1r

Solving
-3r = -8 + 1r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-3r + -1r = -8 + 1r + -1r

Combine like terms: -3r + -1r = -4r
-4r = -8 + 1r + -1r

Combine like terms: 1r + -1r = 0
-4r = -8 + 0
-4r = -8

Divide each side by '-4'.
r = 2

Simplifying
r = 2

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