F(x)=3x(x+5)(4x-1)

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Solution for F(x)=3x(x+5)(4x-1) equation:


Simplifying
F(x) = 3x(x + 5)(4x + -1)

Multiply F * x
xF = 3x(x + 5)(4x + -1)

Reorder the terms:
xF = 3x(5 + x)(4x + -1)

Reorder the terms:
xF = 3x(5 + x)(-1 + 4x)

Multiply (5 + x) * (-1 + 4x)
xF = 3x(5(-1 + 4x) + x(-1 + 4x))
xF = 3x((-1 * 5 + 4x * 5) + x(-1 + 4x))
xF = 3x((-5 + 20x) + x(-1 + 4x))
xF = 3x(-5 + 20x + (-1 * x + 4x * x))
xF = 3x(-5 + 20x + (-1x + 4x2))

Combine like terms: 20x + -1x = 19x
xF = 3x(-5 + 19x + 4x2)
xF = (-5 * 3x + 19x * 3x + 4x2 * 3x)
xF = (-15x + 57x2 + 12x3)

Solving
xF = -15x + 57x2 + 12x3

Solving for variable 'x'.

Reorder the terms:
15x + xF + -57x2 + -12x3 = -15x + 57x2 + 12x3 + 15x + -57x2 + -12x3

Reorder the terms:
15x + xF + -57x2 + -12x3 = -15x + 15x + 57x2 + -57x2 + 12x3 + -12x3

Combine like terms: -15x + 15x = 0
15x + xF + -57x2 + -12x3 = 0 + 57x2 + -57x2 + 12x3 + -12x3
15x + xF + -57x2 + -12x3 = 57x2 + -57x2 + 12x3 + -12x3

Combine like terms: 57x2 + -57x2 = 0
15x + xF + -57x2 + -12x3 = 0 + 12x3 + -12x3
15x + xF + -57x2 + -12x3 = 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
15x + xF + -57x2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + F + -57x + -12x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(15 + F + -57x + -12x2)' equal to zero and attempt to solve: Simplifying 15 + F + -57x + -12x2 = 0 Solving 15 + F + -57x + -12x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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