(R+5)(r-3)=(r+1)(r-1)

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Solution for (R+5)(r-3)=(r+1)(r-1) equation: 


Simplifying
(R + 5)(r + -3) = (r + 1)(r + -1)

Reorder the terms:
(5 + R)(r + -3) = (r + 1)(r + -1)

Reorder the terms:
(5 + R)(-3 + r) = (r + 1)(r + -1)

Multiply (5 + R) * (-3 + r)
(5(-3 + r) + R(-3 + r)) = (r + 1)(r + -1)
((-3 * 5 + r * 5) + R(-3 + r)) = (r + 1)(r + -1)
((-15 + 5r) + R(-3 + r)) = (r + 1)(r + -1)
(-15 + 5r + (-3 * R + r * R)) = (r + 1)(r + -1)
(-15 + 5r + (-3R + rR)) = (r + 1)(r + -1)

Reorder the terms:
(-15 + -3R + 5r + rR) = (r + 1)(r + -1)
(-15 + -3R + 5r + rR) = (r + 1)(r + -1)

Reorder the terms:
-15 + -3R + 5r + rR = (1 + r)(r + -1)

Reorder the terms:
-15 + -3R + 5r + rR = (1 + r)(-1 + r)

Multiply (1 + r) * (-1 + r)
-15 + -3R + 5r + rR = (1(-1 + r) + r(-1 + r))
-15 + -3R + 5r + rR = ((-1 * 1 + r * 1) + r(-1 + r))
-15 + -3R + 5r + rR = ((-1 + 1r) + r(-1 + r))
-15 + -3R + 5r + rR = (-1 + 1r + (-1 * r + r * r))
-15 + -3R + 5r + rR = (-1 + 1r + (-1r + r2))

Combine like terms: 1r + -1r = 0
-15 + -3R + 5r + rR = (-1 + 0 + r2)
-15 + -3R + 5r + rR = (-1 + r2)

Solving
-15 + -3R + 5r + rR = -1 + r2

Solving for variable 'R'.

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

Add '15' to each side of the equation.
-15 + -3R + 5r + 15 + rR = -1 + 15 + r2

Reorder the terms:
-15 + 15 + -3R + 5r + rR = -1 + 15 + r2

Combine like terms: -15 + 15 = 0
0 + -3R + 5r + rR = -1 + 15 + r2
-3R + 5r + rR = -1 + 15 + r2

Combine like terms: -1 + 15 = 14
-3R + 5r + rR = 14 + r2

Add '-5r' to each side of the equation.
-3R + 5r + -5r + rR = 14 + -5r + r2

Combine like terms: 5r + -5r = 0
-3R + 0 + rR = 14 + -5r + r2
-3R + rR = 14 + -5r + r2

Reorder the terms:
-14 + -3R + 5r + rR + -1r2 = 14 + -5r + r2 + -14 + 5r + -1r2

Reorder the terms:
-14 + -3R + 5r + rR + -1r2 = 14 + -14 + -5r + 5r + r2 + -1r2

Combine like terms: 14 + -14 = 0
-14 + -3R + 5r + rR + -1r2 = 0 + -5r + 5r + r2 + -1r2
-14 + -3R + 5r + rR + -1r2 = -5r + 5r + r2 + -1r2

Combine like terms: -5r + 5r = 0
-14 + -3R + 5r + rR + -1r2 = 0 + r2 + -1r2
-14 + -3R + 5r + rR + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-14 + -3R + 5r + rR + -1r2 = 0

The solution to this equation could not be determined.

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