(r+2)(r-2)=(r-2)(r+3)-2

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Solution for (r+2)(r-2)=(r-2)(r+3)-2 equation: 


Simplifying
(r + 2)(r + -2) = (r + -2)(r + 3) + -2

Reorder the terms:
(2 + r)(r + -2) = (r + -2)(r + 3) + -2

Reorder the terms:
(2 + r)(-2 + r) = (r + -2)(r + 3) + -2

Multiply (2 + r) * (-2 + r)
(2(-2 + r) + r(-2 + r)) = (r + -2)(r + 3) + -2
((-2 * 2 + r * 2) + r(-2 + r)) = (r + -2)(r + 3) + -2
((-4 + 2r) + r(-2 + r)) = (r + -2)(r + 3) + -2
(-4 + 2r + (-2 * r + r * r)) = (r + -2)(r + 3) + -2
(-4 + 2r + (-2r + r2)) = (r + -2)(r + 3) + -2

Combine like terms: 2r + -2r = 0
(-4 + 0 + r2) = (r + -2)(r + 3) + -2
(-4 + r2) = (r + -2)(r + 3) + -2

Reorder the terms:
-4 + r2 = (-2 + r)(r + 3) + -2

Reorder the terms:
-4 + r2 = (-2 + r)(3 + r) + -2

Multiply (-2 + r) * (3 + r)
-4 + r2 = (-2(3 + r) + r(3 + r)) + -2
-4 + r2 = ((3 * -2 + r * -2) + r(3 + r)) + -2
-4 + r2 = ((-6 + -2r) + r(3 + r)) + -2
-4 + r2 = (-6 + -2r + (3 * r + r * r)) + -2
-4 + r2 = (-6 + -2r + (3r + r2)) + -2

Combine like terms: -2r + 3r = 1r
-4 + r2 = (-6 + 1r + r2) + -2

Reorder the terms:
-4 + r2 = -6 + -2 + 1r + r2

Combine like terms: -6 + -2 = -8
-4 + r2 = -8 + 1r + r2

Add '-1r2' to each side of the equation.
-4 + r2 + -1r2 = -8 + 1r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-4 + 0 = -8 + 1r + r2 + -1r2
-4 = -8 + 1r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-4 = -8 + 1r + 0
-4 = -8 + 1r

Solving
-4 = -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.
-4 + -1r = -8 + 1r + -1r

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

Add '4' to each side of the equation.
-4 + 4 + -1r = -8 + 4

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

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

Divide each side by '-1'.
r = 4

Simplifying
r = 4

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