(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 = -5r
-4 + r2 = (6 + -5r + r2) + -2

Reorder the terms:
-4 + r2 = 6 + -2 + -5r + r2

Combine like terms: 6 + -2 = 4
-4 + r2 = 4 + -5r + r2

Add '-1r2' to each side of the equation.
-4 + r2 + -1r2 = 4 + -5r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-4 + 0 = 4 + -5r + r2 + -1r2
-4 = 4 + -5r + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-4 = 4 + -5r + 0
-4 = 4 + -5r

Solving
-4 = 4 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
-4 + 5r = 4 + -5r + 5r

Combine like terms: -5r + 5r = 0
-4 + 5r = 4 + 0
-4 + 5r = 4

Add '4' to each side of the equation.
-4 + 4 + 5r = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 5r = 4 + 4
5r = 4 + 4

Combine like terms: 4 + 4 = 8
5r = 8

Divide each side by '5'.
r = 1.6

Simplifying
r = 1.6

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