F(-21x^2+5x+6)=0

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Solution for F(-21x^2+5x+6)=0 equation: 


Simplifying
F(-21x2 + 5x + 6) = 0

Reorder the terms:
F(6 + 5x + -21x2) = 0
(6 * F + 5x * F + -21x2 * F) = 0
(6F + 5xF + -21x2F) = 0

Solving
6F + 5xF + -21x2F = 0

Solving for variable 'F'.

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

Factor out the Greatest Common Factor (GCF), 'F'.
F(6 + 5x + -21x2) = 0

Factor a trinomial.
F((2 + -3x)(3 + 7x)) = 0


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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Add '3x' to each side of the equation.
-3x + 3x = -2 + 3x

Combine like terms: -3x + 3x = 0
0 = -2 + 3x

Simplifying
0 = -2 + 3x

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

Solving
3 + 7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 0 + -3
7x = 0 + -3

Combine like terms: 0 + -3 = -3
7x = -3

Add '-7x' to each side of the equation.
7x + -7x = -3 + -7x

Combine like terms: 7x + -7x = 0
0 = -3 + -7x

Simplifying
0 = -3 + -7x

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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