r^2-2r+1-16f^2=

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Solution for r^2-2r+1-16f^2= equation:


Simplifying
r2 + -2r + 1 + -16f2 = 0

Reorder the terms:
1 + -16f2 + -2r + r2 = 0

Solving
1 + -16f2 + -2r + r2 = 0

Solving for variable 'f'.

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

Add '-1' to each side of the equation.
1 + -16f2 + -2r + -1 + r2 = 0 + -1

Reorder the terms:
1 + -1 + -16f2 + -2r + r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -16f2 + -2r + r2 = 0 + -1
-16f2 + -2r + r2 = 0 + -1

Combine like terms: 0 + -1 = -1
-16f2 + -2r + r2 = -1

Add '2r' to each side of the equation.
-16f2 + -2r + 2r + r2 = -1 + 2r

Combine like terms: -2r + 2r = 0
-16f2 + 0 + r2 = -1 + 2r
-16f2 + r2 = -1 + 2r

Add '-1r2' to each side of the equation.
-16f2 + r2 + -1r2 = -1 + 2r + -1r2

Combine like terms: r2 + -1r2 = 0
-16f2 + 0 = -1 + 2r + -1r2
-16f2 = -1 + 2r + -1r2

Divide each side by '-16'.
f2 = 0.0625 + -0.125r + 0.0625r2

Simplifying
f2 = 0.0625 + -0.125r + 0.0625r2

Reorder the terms:
-0.0625 + f2 + 0.125r + -0.0625r2 = 0.0625 + -0.125r + 0.0625r2 + -0.0625 + 0.125r + -0.0625r2

Reorder the terms:
-0.0625 + f2 + 0.125r + -0.0625r2 = 0.0625 + -0.0625 + -0.125r + 0.125r + 0.0625r2 + -0.0625r2

Combine like terms: 0.0625 + -0.0625 = 0.0000
-0.0625 + f2 + 0.125r + -0.0625r2 = 0.0000 + -0.125r + 0.125r + 0.0625r2 + -0.0625r2
-0.0625 + f2 + 0.125r + -0.0625r2 = -0.125r + 0.125r + 0.0625r2 + -0.0625r2

Combine like terms: -0.125r + 0.125r = 0.000
-0.0625 + f2 + 0.125r + -0.0625r2 = 0.000 + 0.0625r2 + -0.0625r2
-0.0625 + f2 + 0.125r + -0.0625r2 = 0.0625r2 + -0.0625r2

Combine like terms: 0.0625r2 + -0.0625r2 = 0.0000
-0.0625 + f2 + 0.125r + -0.0625r2 = 0.0000

The solution to this equation could not be determined.

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