(R-4)(r+16)=25

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Solution for (R-4)(r+16)=25 equation:


Simplifying
(R + -4)(r + 16) = 25

Reorder the terms:
(-4 + R)(r + 16) = 25

Reorder the terms:
(-4 + R)(16 + r) = 25

Multiply (-4 + R) * (16 + r)
(-4(16 + r) + R(16 + r)) = 25
((16 * -4 + r * -4) + R(16 + r)) = 25
((-64 + -4r) + R(16 + r)) = 25
(-64 + -4r + (16 * R + r * R)) = 25
(-64 + -4r + (16R + rR)) = 25

Reorder the terms:
(-64 + 16R + -4r + rR) = 25
(-64 + 16R + -4r + rR) = 25

Solving
-64 + 16R + -4r + rR = 25

Solving for variable 'R'.

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

Add '64' to each side of the equation.
-64 + 16R + -4r + 64 + rR = 25 + 64

Reorder the terms:
-64 + 64 + 16R + -4r + rR = 25 + 64

Combine like terms: -64 + 64 = 0
0 + 16R + -4r + rR = 25 + 64
16R + -4r + rR = 25 + 64

Combine like terms: 25 + 64 = 89
16R + -4r + rR = 89

Add '4r' to each side of the equation.
16R + -4r + 4r + rR = 89 + 4r

Combine like terms: -4r + 4r = 0
16R + 0 + rR = 89 + 4r
16R + rR = 89 + 4r

Reorder the terms:
-89 + 16R + -4r + rR = 89 + 4r + -89 + -4r

Reorder the terms:
-89 + 16R + -4r + rR = 89 + -89 + 4r + -4r

Combine like terms: 89 + -89 = 0
-89 + 16R + -4r + rR = 0 + 4r + -4r
-89 + 16R + -4r + rR = 4r + -4r

Combine like terms: 4r + -4r = 0
-89 + 16R + -4r + rR = 0

The solution to this equation could not be determined.

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