(r-5)(r+5)-f(r+5)=

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Solution for (r-5)(r+5)-f(r+5)= equation:


Simplifying
(r + -5)(r + 5) + -1f(r + 5) = 0

Reorder the terms:
(-5 + r)(r + 5) + -1f(r + 5) = 0

Reorder the terms:
(-5 + r)(5 + r) + -1f(r + 5) = 0

Multiply (-5 + r) * (5 + r)
(-5(5 + r) + r(5 + r)) + -1f(r + 5) = 0
((5 * -5 + r * -5) + r(5 + r)) + -1f(r + 5) = 0
((-25 + -5r) + r(5 + r)) + -1f(r + 5) = 0
(-25 + -5r + (5 * r + r * r)) + -1f(r + 5) = 0
(-25 + -5r + (5r + r2)) + -1f(r + 5) = 0

Combine like terms: -5r + 5r = 0
(-25 + 0 + r2) + -1f(r + 5) = 0
(-25 + r2) + -1f(r + 5) = 0

Reorder the terms:
-25 + r2 + -1f(5 + r) = 0
-25 + r2 + (5 * -1f + r * -1f) = 0
-25 + r2 + (-5f + -1fr) = 0

Reorder the terms:
-25 + -5f + -1fr + r2 = 0

Solving
-25 + -5f + -1fr + r2 = 0

Solving for variable 'f'.

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

Add '25' to each side of the equation.
-25 + -5f + -1fr + 25 + r2 = 0 + 25

Reorder the terms:
-25 + 25 + -5f + -1fr + r2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -5f + -1fr + r2 = 0 + 25
-5f + -1fr + r2 = 0 + 25

Combine like terms: 0 + 25 = 25
-5f + -1fr + r2 = 25

Add '-1r2' to each side of the equation.
-5f + -1fr + r2 + -1r2 = 25 + -1r2

Combine like terms: r2 + -1r2 = 0
-5f + -1fr + 0 = 25 + -1r2
-5f + -1fr = 25 + -1r2

Reorder the terms:
-25 + -5f + -1fr + r2 = 25 + -1r2 + -25 + r2

Reorder the terms:
-25 + -5f + -1fr + r2 = 25 + -25 + -1r2 + r2

Combine like terms: 25 + -25 = 0
-25 + -5f + -1fr + r2 = 0 + -1r2 + r2
-25 + -5f + -1fr + r2 = -1r2 + r2

Combine like terms: -1r2 + r2 = 0
-25 + -5f + -1fr + r2 = 0

The solution to this equation could not be determined.

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