(r+8)(r+8)=r*r+400

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Solution for (r+8)(r+8)=r*r+400 equation:


Simplifying
(r + 8)(r + 8) = r * r + 400

Reorder the terms:
(8 + r)(r + 8) = r * r + 400

Reorder the terms:
(8 + r)(8 + r) = r * r + 400

Multiply (8 + r) * (8 + r)
(8(8 + r) + r(8 + r)) = r * r + 400
((8 * 8 + r * 8) + r(8 + r)) = r * r + 400
((64 + 8r) + r(8 + r)) = r * r + 400
(64 + 8r + (8 * r + r * r)) = r * r + 400
(64 + 8r + (8r + r2)) = r * r + 400

Combine like terms: 8r + 8r = 16r
(64 + 16r + r2) = r * r + 400

Multiply r * r
64 + 16r + r2 = r2 + 400

Reorder the terms:
64 + 16r + r2 = 400 + r2

Add '-1r2' to each side of the equation.
64 + 16r + r2 + -1r2 = 400 + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
64 + 16r + 0 = 400 + r2 + -1r2
64 + 16r = 400 + r2 + -1r2

Combine like terms: r2 + -1r2 = 0
64 + 16r = 400 + 0
64 + 16r = 400

Solving
64 + 16r = 400

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 + -64 + 16r = 400 + -64

Combine like terms: 64 + -64 = 0
0 + 16r = 400 + -64
16r = 400 + -64

Combine like terms: 400 + -64 = 336
16r = 336

Divide each side by '16'.
r = 21

Simplifying
r = 21

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