(r+1)2+(r-8)2=45

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Solution for (r+1)2+(r-8)2=45 equation: 


Simplifying
(r + 1) * 2 + (r + -8) * 2 = 45

Reorder the terms:
(1 + r) * 2 + (r + -8) * 2 = 45

Reorder the terms for easier multiplication:
2(1 + r) + (r + -8) * 2 = 45
(1 * 2 + r * 2) + (r + -8) * 2 = 45
(2 + 2r) + (r + -8) * 2 = 45

Reorder the terms:
2 + 2r + (-8 + r) * 2 = 45

Reorder the terms for easier multiplication:
2 + 2r + 2(-8 + r) = 45
2 + 2r + (-8 * 2 + r * 2) = 45
2 + 2r + (-16 + 2r) = 45

Reorder the terms:
2 + -16 + 2r + 2r = 45

Combine like terms: 2 + -16 = -14
-14 + 2r + 2r = 45

Combine like terms: 2r + 2r = 4r
-14 + 4r = 45

Solving
-14 + 4r = 45

Solving for variable 'r'.

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

Add '14' to each side of the equation.
-14 + 14 + 4r = 45 + 14

Combine like terms: -14 + 14 = 0
0 + 4r = 45 + 14
4r = 45 + 14

Combine like terms: 45 + 14 = 59
4r = 59

Divide each side by '4'.
r = 14.75

Simplifying
r = 14.75

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