=f(3x^2+8)

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Solution for =f(3x^2+8) equation:


Simplifying
0 = f(3x2 + 8)

Reorder the terms:
0 = f(8 + 3x2)
0 = (8 * f + 3x2 * f)
0 = (8f + 3fx2)

Solving
0 = 8f + 3fx2

Solving for variable 'f'.

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

Add '-8f' to each side of the equation.
0 + -8f = 8f + -8f + 3fx2
Remove the zero:
-8f = 8f + -8f + 3fx2

Combine like terms: 8f + -8f = 0
-8f = 0 + 3fx2
-8f = 3fx2

Add '-3fx2' to each side of the equation.
-8f + -3fx2 = 3fx2 + -3fx2

Combine like terms: 3fx2 + -3fx2 = 0
-8f + -3fx2 = 0

Factor out the Greatest Common Factor (GCF), '-1f'.
-1f(8 + 3x2) = 0

Ignore the factor -1.

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

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0

Subproblem 2
Set the factor '(8 + 3x2)' equal to zero and attempt to solve:

Simplifying
8 + 3x2 = 0

Solving
8 + 3x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x2 = 0 + -8
3x2 = 0 + -8

Combine like terms: 0 + -8 = -8
3x2 = -8

Add '-3x2' to each side of the equation.
3x2 + -3x2 = -8 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = -8 + -3x2

Simplifying
0 = -8 + -3x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
f = {0}

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