(F)x=(3x^2-5)findF(5n)

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Solution for (F)x=(3x^2-5)findF(5n) equation: 


Simplifying
(F) * x = (3x2 + -5) * findF(5n)

Multiply F * x
xF = (3x2 + -5) * findF(5n)

Reorder the terms:
xF = (-5 + 3x2) * findF(5n)

Remove parenthesis around (5n)
xF = (-5 + 3x2) * dfinF * 5n

Reorder the terms for easier multiplication:
xF = 5dfinF * n(-5 + 3x2)

Multiply dfinF * n
xF = 5dfin2F(-5 + 3x2)
xF = (-5 * 5dfin2F + 3x2 * 5dfin2F)
xF = (-25dfin2F + 15dfin2x2F)

Solving
xF = -25dfin2F + 15dfin2x2F

Solving for variable 'x'.

Reorder the terms:
25dfin2F + -15dfin2x2F + xF = -25dfin2F + 15dfin2x2F + 25dfin2F + -15dfin2x2F

Reorder the terms:
25dfin2F + -15dfin2x2F + xF = -25dfin2F + 25dfin2F + 15dfin2x2F + -15dfin2x2F

Combine like terms: -25dfin2F + 25dfin2F = 0
25dfin2F + -15dfin2x2F + xF = 0 + 15dfin2x2F + -15dfin2x2F
25dfin2F + -15dfin2x2F + xF = 15dfin2x2F + -15dfin2x2F

Combine like terms: 15dfin2x2F + -15dfin2x2F = 0
25dfin2F + -15dfin2x2F + xF = 0

Factor out the Greatest Common Factor (GCF), 'F'.
F(25dfin2 + -15dfin2x2 + x) = 0


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

Simplifying
F = 0

Solving
F = 0

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

Add '-1F' to each side of the equation.
F + -1F = 0 + -1F
Remove the zero:
0 = -1F

Simplifying
0 = -1F

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 '(25dfin2 + -15dfin2x2 + x)' equal to zero and attempt to solve:

Simplifying
25dfin2 + -15dfin2x2 + x = 0

Solving
25dfin2 + -15dfin2x2 + x = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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