(-5s^2f-2sf^2+3sf)-(-7s^2f-12sf^2-4sf)=

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Solution for (-5s^2f-2sf^2+3sf)-(-7s^2f-12sf^2-4sf)= equation: 


Simplifying
(-5s2f + -2sf2 + 3sf) + -1(-7s2f + -12sf2 + -4sf) = 0

Reorder the terms:
(3fs + -5fs2 + -2f2s) + -1(-7s2f + -12sf2 + -4sf) = 0

Remove parenthesis around (3fs + -5fs2 + -2f2s)
3fs + -5fs2 + -2f2s + -1(-7s2f + -12sf2 + -4sf) = 0

Reorder the terms:
3fs + -5fs2 + -2f2s + -1(-4fs + -7fs2 + -12f2s) = 0
3fs + -5fs2 + -2f2s + (-4fs * -1 + -7fs2 * -1 + -12f2s * -1) = 0
3fs + -5fs2 + -2f2s + (4fs + 7fs2 + 12f2s) = 0

Reorder the terms:
3fs + 4fs + -5fs2 + 7fs2 + -2f2s + 12f2s = 0

Combine like terms: 3fs + 4fs = 7fs
7fs + -5fs2 + 7fs2 + -2f2s + 12f2s = 0

Combine like terms: -5fs2 + 7fs2 = 2fs2
7fs + 2fs2 + -2f2s + 12f2s = 0

Combine like terms: -2f2s + 12f2s = 10f2s
7fs + 2fs2 + 10f2s = 0

Solving
7fs + 2fs2 + 10f2s = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'fs'.
fs(7 + 2s + 10f) = 0


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

Simplifying
fs = 0

Solving
fs = 0

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

Simplifying
fs = 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 '(7 + 2s + 10f)' equal to zero and attempt to solve:

Simplifying
7 + 2s + 10f = 0

Reorder the terms:
7 + 10f + 2s = 0

Solving
7 + 10f + 2s = 0

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

Add '-7' to each side of the equation.
7 + 10f + -7 + 2s = 0 + -7

Reorder the terms:
7 + -7 + 10f + 2s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10f + 2s = 0 + -7
10f + 2s = 0 + -7

Combine like terms: 0 + -7 = -7
10f + 2s = -7

Add '-2s' to each side of the equation.
10f + 2s + -2s = -7 + -2s

Combine like terms: 2s + -2s = 0
10f + 0 = -7 + -2s
10f = -7 + -2s

Divide each side by '10'.
f = -0.7 + -0.2s

Simplifying
f = -0.7 + -0.2s
Solution
f = {-0.7 + -0.2s}

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