F(x)=(3x+1)(2x^2+5x+1)

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Solution for F(x)=(3x+1)(2x^2+5x+1) equation: 


Simplifying
F(x) = (3x + 1)(2x2 + 5x + 1)

Multiply F * x
xF = (3x + 1)(2x2 + 5x + 1)

Reorder the terms:
xF = (1 + 3x)(2x2 + 5x + 1)

Reorder the terms:
xF = (1 + 3x)(1 + 5x + 2x2)

Multiply (1 + 3x) * (1 + 5x + 2x2)
xF = (1(1 + 5x + 2x2) + 3x * (1 + 5x + 2x2))
xF = ((1 * 1 + 5x * 1 + 2x2 * 1) + 3x * (1 + 5x + 2x2))
xF = ((1 + 5x + 2x2) + 3x * (1 + 5x + 2x2))
xF = (1 + 5x + 2x2 + (1 * 3x + 5x * 3x + 2x2 * 3x))
xF = (1 + 5x + 2x2 + (3x + 15x2 + 6x3))

Reorder the terms:
xF = (1 + 5x + 3x + 2x2 + 15x2 + 6x3)

Combine like terms: 5x + 3x = 8x
xF = (1 + 8x + 2x2 + 15x2 + 6x3)

Combine like terms: 2x2 + 15x2 = 17x2
xF = (1 + 8x + 17x2 + 6x3)

Solving
xF = 1 + 8x + 17x2 + 6x3

Solving for variable 'x'.

Reorder the terms:
-1 + -8x + xF + -17x2 + -6x3 = 1 + 8x + 17x2 + 6x3 + -1 + -8x + -17x2 + -6x3

Reorder the terms:
-1 + -8x + xF + -17x2 + -6x3 = 1 + -1 + 8x + -8x + 17x2 + -17x2 + 6x3 + -6x3

Combine like terms: 1 + -1 = 0
-1 + -8x + xF + -17x2 + -6x3 = 0 + 8x + -8x + 17x2 + -17x2 + 6x3 + -6x3
-1 + -8x + xF + -17x2 + -6x3 = 8x + -8x + 17x2 + -17x2 + 6x3 + -6x3

Combine like terms: 8x + -8x = 0
-1 + -8x + xF + -17x2 + -6x3 = 0 + 17x2 + -17x2 + 6x3 + -6x3
-1 + -8x + xF + -17x2 + -6x3 = 17x2 + -17x2 + 6x3 + -6x3

Combine like terms: 17x2 + -17x2 = 0
-1 + -8x + xF + -17x2 + -6x3 = 0 + 6x3 + -6x3
-1 + -8x + xF + -17x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
-1 + -8x + xF + -17x2 + -6x3 = 0

The solution to this equation could not be determined.

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