(7af-6a^2f+16af^2)-(11af^2-3af-16a^2f)=

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Solution for (7af-6a^2f+16af^2)-(11af^2-3af-16a^2f)= equation: 


Simplifying
(7af + -6a2f + 16af2) + -1(11af2 + -3af + -16a2f) = 0

Reorder the terms:
(7af + 16af2 + -6a2f) + -1(11af2 + -3af + -16a2f) = 0

Remove parenthesis around (7af + 16af2 + -6a2f)
7af + 16af2 + -6a2f + -1(11af2 + -3af + -16a2f) = 0

Reorder the terms:
7af + 16af2 + -6a2f + -1(-3af + 11af2 + -16a2f) = 0
7af + 16af2 + -6a2f + (-3af * -1 + 11af2 * -1 + -16a2f * -1) = 0
7af + 16af2 + -6a2f + (3af + -11af2 + 16a2f) = 0

Reorder the terms:
7af + 3af + 16af2 + -11af2 + -6a2f + 16a2f = 0

Combine like terms: 7af + 3af = 10af
10af + 16af2 + -11af2 + -6a2f + 16a2f = 0

Combine like terms: 16af2 + -11af2 = 5af2
10af + 5af2 + -6a2f + 16a2f = 0

Combine like terms: -6a2f + 16a2f = 10a2f
10af + 5af2 + 10a2f = 0

Solving
10af + 5af2 + 10a2f = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5af'.
5af(2 + f + 2a) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'af' equal to zero and attempt to solve:

Simplifying
af = 0

Solving
af = 0

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

Simplifying
af = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + f + 2a)' equal to zero and attempt to solve:

Simplifying
2 + f + 2a = 0

Reorder the terms:
2 + 2a + f = 0

Solving
2 + 2a + f = 0

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

Add '-2' to each side of the equation.
2 + 2a + -2 + f = 0 + -2

Reorder the terms:
2 + -2 + 2a + f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2a + f = 0 + -2
2a + f = 0 + -2

Combine like terms: 0 + -2 = -2
2a + f = -2

Add '-1f' to each side of the equation.
2a + f + -1f = -2 + -1f

Combine like terms: f + -1f = 0
2a + 0 = -2 + -1f
2a = -2 + -1f

Divide each side by '2'.
a = -1 + -0.5f

Simplifying
a = -1 + -0.5f
Solution
a = {-1 + -0.5f}

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