(x-3)(25x-20x+4)(x-7x+12)=0

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Solution for (x-3)(25x-20x+4)(x-7x+12)=0 equation: 


Simplifying
(x + -3)(25x + -20x + 4)(x + -7x + 12) = 0

Reorder the terms:
(-3 + x)(25x + -20x + 4)(x + -7x + 12) = 0

Reorder the terms:
(-3 + x)(4 + 25x + -20x)(x + -7x + 12) = 0

Combine like terms: 25x + -20x = 5x
(-3 + x)(4 + 5x)(x + -7x + 12) = 0

Reorder the terms:
(-3 + x)(4 + 5x)(12 + x + -7x) = 0

Combine like terms: x + -7x = -6x
(-3 + x)(4 + 5x)(12 + -6x) = 0

Multiply (-3 + x) * (4 + 5x)
(-3(4 + 5x) + x(4 + 5x))(12 + -6x) = 0
((4 * -3 + 5x * -3) + x(4 + 5x))(12 + -6x) = 0
((-12 + -15x) + x(4 + 5x))(12 + -6x) = 0
(-12 + -15x + (4 * x + 5x * x))(12 + -6x) = 0
(-12 + -15x + (4x + 5x2))(12 + -6x) = 0

Combine like terms: -15x + 4x = -11x
(-12 + -11x + 5x2)(12 + -6x) = 0

Multiply (-12 + -11x + 5x2) * (12 + -6x)
(-12(12 + -6x) + -11x * (12 + -6x) + 5x2 * (12 + -6x)) = 0
((12 * -12 + -6x * -12) + -11x * (12 + -6x) + 5x2 * (12 + -6x)) = 0
((-144 + 72x) + -11x * (12 + -6x) + 5x2 * (12 + -6x)) = 0
(-144 + 72x + (12 * -11x + -6x * -11x) + 5x2 * (12 + -6x)) = 0
(-144 + 72x + (-132x + 66x2) + 5x2 * (12 + -6x)) = 0
(-144 + 72x + -132x + 66x2 + (12 * 5x2 + -6x * 5x2)) = 0
(-144 + 72x + -132x + 66x2 + (60x2 + -30x3)) = 0

Combine like terms: 72x + -132x = -60x
(-144 + -60x + 66x2 + 60x2 + -30x3) = 0

Combine like terms: 66x2 + 60x2 = 126x2
(-144 + -60x + 126x2 + -30x3) = 0

Solving
-144 + -60x + 126x2 + -30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-24 + -10x + 21x2 + -5x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-24 + -10x + 21x2 + -5x3)' equal to zero and attempt to solve:

Simplifying
-24 + -10x + 21x2 + -5x3 = 0

Solving
-24 + -10x + 21x2 + -5x3 = 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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