f(t+1)=(t+1)2-7(t+1)+10

Solution for f(t+1)=(t+1)2-7(t+1)+10 equation:

Simplifying
f(t + 1) = (t + 1) * 2 + -7(t + 1) + 10

Reorder the terms:
f(1 + t) = (t + 1) * 2 + -7(t + 1) + 10
(1 * f + t * f) = (t + 1) * 2 + -7(t + 1) + 10
(1f + ft) = (t + 1) * 2 + -7(t + 1) + 10

Reorder the terms:
1f + ft = (1 + t) * 2 + -7(t + 1) + 10

Reorder the terms for easier multiplication:
1f + ft = 2(1 + t) + -7(t + 1) + 10
1f + ft = (1 * 2 + t * 2) + -7(t + 1) + 10
1f + ft = (2 + 2t) + -7(t + 1) + 10

Reorder the terms:
1f + ft = 2 + 2t + -7(1 + t) + 10
1f + ft = 2 + 2t + (1 * -7 + t * -7) + 10
1f + ft = 2 + 2t + (-7 + -7t) + 10

Reorder the terms:
1f + ft = 2 + -7 + 10 + 2t + -7t

Combine like terms: 2 + -7 = -5
1f + ft = -5 + 10 + 2t + -7t

Combine like terms: -5 + 10 = 5
1f + ft = 5 + 2t + -7t

Combine like terms: 2t + -7t = -5t
1f + ft = 5 + -5t

Solving
1f + ft = 5 + -5t

Solving for variable 'f'.

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

Reorder the terms:
-5 + 1f + ft + 5t = 5 + -5t + -5 + 5t

Reorder the terms:
-5 + 1f + ft + 5t = 5 + -5 + -5t + 5t

Combine like terms: 5 + -5 = 0
-5 + 1f + ft + 5t = 0 + -5t + 5t
-5 + 1f + ft + 5t = -5t + 5t

Combine like terms: -5t + 5t = 0
-5 + 1f + ft + 5t = 0

The solution to this equation could not be determined.