(6x^2)(5x-4)(3x+2)(x+5)=f(x)

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Solution for (6x^2)(5x-4)(3x+2)(x+5)=f(x) equation: 


Simplifying
(6x2)(5x + -4)(3x + 2)(x + 5) = f(x)

Remove parenthesis around (6x2)
6x2(5x + -4)(3x + 2)(x + 5) = f(x)

Reorder the terms:
6x2(-4 + 5x)(3x + 2)(x + 5) = f(x)

Reorder the terms:
6x2(-4 + 5x)(2 + 3x)(x + 5) = f(x)

Reorder the terms:
6x2(-4 + 5x)(2 + 3x)(5 + x) = f(x)

Multiply (-4 + 5x) * (2 + 3x)
6x2(-4(2 + 3x) + 5x * (2 + 3x))(5 + x) = f(x)
6x2((2 * -4 + 3x * -4) + 5x * (2 + 3x))(5 + x) = f(x)
6x2((-8 + -12x) + 5x * (2 + 3x))(5 + x) = f(x)
6x2(-8 + -12x + (2 * 5x + 3x * 5x))(5 + x) = f(x)
6x2(-8 + -12x + (10x + 15x2))(5 + x) = f(x)

Combine like terms: -12x + 10x = -2x
6x2(-8 + -2x + 15x2)(5 + x) = f(x)

Multiply (-8 + -2x + 15x2) * (5 + x)
6x2(-8(5 + x) + -2x * (5 + x) + 15x2 * (5 + x)) = f(x)
6x2((5 * -8 + x * -8) + -2x * (5 + x) + 15x2 * (5 + x)) = f(x)
6x2((-40 + -8x) + -2x * (5 + x) + 15x2 * (5 + x)) = f(x)
6x2(-40 + -8x + (5 * -2x + x * -2x) + 15x2 * (5 + x)) = f(x)
6x2(-40 + -8x + (-10x + -2x2) + 15x2 * (5 + x)) = f(x)
6x2(-40 + -8x + -10x + -2x2 + (5 * 15x2 + x * 15x2)) = f(x)
6x2(-40 + -8x + -10x + -2x2 + (75x2 + 15x3)) = f(x)

Combine like terms: -8x + -10x = -18x
6x2(-40 + -18x + -2x2 + 75x2 + 15x3) = f(x)

Combine like terms: -2x2 + 75x2 = 73x2
6x2(-40 + -18x + 73x2 + 15x3) = f(x)
(-40 * 6x2 + -18x * 6x2 + 73x2 * 6x2 + 15x3 * 6x2) = f(x)
(-240x2 + -108x3 + 438x4 + 90x5) = f(x)

Multiply f * x
-240x2 + -108x3 + 438x4 + 90x5 = fx

Solving
-240x2 + -108x3 + 438x4 + 90x5 = fx

Solving for variable 'x'.

Reorder the terms:
-1fx + -240x2 + -108x3 + 438x4 + 90x5 = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + -240x2 + -108x3 + 438x4 + 90x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + -240x + -108x2 + 438x3 + 90x4) = 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 '(-1f + -240x + -108x2 + 438x3 + 90x4)' equal to zero and attempt to solve:

Simplifying
-1f + -240x + -108x2 + 438x3 + 90x4 = 0

Solving
-1f + -240x + -108x2 + 438x3 + 90x4 = 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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