(x-1)(x-4)(x-6)+(-2)(-5)(-3)+(-3)(-2)(-5)-(-2)(-2)(x-6)-(x-1)(-5)(-5)-(-3)(x-4)(-3)=0

Simple and best practice solution for (x-1)(x-4)(x-6)+(-2)(-5)(-3)+(-3)(-2)(-5)-(-2)(-2)(x-6)-(x-1)(-5)(-5)-(-3)(x-4)(-3)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to u

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Solution for (x-1)(x-4)(x-6)+(-2)(-5)(-3)+(-3)(-2)(-5)-(-2)(-2)(x-6)-(x-1)(-5)(-5)-(-3)(x-4)(-3)=0 equation: 


Simplifying
(x + -1)(x + -4)(x + -6) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Reorder the terms:
(-1 + x)(x + -4)(x + -6) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Reorder the terms:
(-1 + x)(-4 + x)(x + -6) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Reorder the terms:
(-1 + x)(-4 + x)(-6 + x) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply (-1 + x) * (-4 + x)
(-1(-4 + x) + x(-4 + x))(-6 + x) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
((-4 * -1 + x * -1) + x(-4 + x))(-6 + x) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
((4 + -1x) + x(-4 + x))(-6 + x) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
(4 + -1x + (-4 * x + x * x))(-6 + x) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
(4 + -1x + (-4x + x2))(-6 + x) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Combine like terms: -1x + -4x = -5x
(4 + -5x + x2)(-6 + x) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply (4 + -5x + x2) * (-6 + x)
(4(-6 + x) + -5x * (-6 + x) + x2(-6 + x)) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
((-6 * 4 + x * 4) + -5x * (-6 + x) + x2(-6 + x)) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
((-24 + 4x) + -5x * (-6 + x) + x2(-6 + x)) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
(-24 + 4x + (-6 * -5x + x * -5x) + x2(-6 + x)) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
(-24 + 4x + (30x + -5x2) + x2(-6 + x)) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
(-24 + 4x + 30x + -5x2 + (-6 * x2 + x * x2)) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
(-24 + 4x + 30x + -5x2 + (-6x2 + x3)) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Combine like terms: 4x + 30x = 34x
(-24 + 34x + -5x2 + -6x2 + x3) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Combine like terms: -5x2 + -6x2 = -11x2
(-24 + 34x + -11x2 + x3) + (-2)(-5)(-3) + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply -2 * -5
-24 + 34x + -11x2 + x3 + 10 * -3 + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply 10 * -3
-24 + 34x + -11x2 + x3 + -30 + (-3)(-2)(-5) + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply -3 * -2
-24 + 34x + -11x2 + x3 + -30 + 6 * -5 + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply 6 * -5
-24 + 34x + -11x2 + x3 + -30 + -30 + -1(-2)(-2)(x + -6) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Reorder the terms:
-24 + 34x + -11x2 + x3 + -30 + -30 + -1 * -2 * -2(-6 + x) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply -1 * -2
-24 + 34x + -11x2 + x3 + -30 + -30 + 2 * -2(-6 + x) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Multiply 2 * -2
-24 + 34x + -11x2 + x3 + -30 + -30 + -4(-6 + x) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
-24 + 34x + -11x2 + x3 + -30 + -30 + (-6 * -4 + x * -4) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0
-24 + 34x + -11x2 + x3 + -30 + -30 + (24 + -4x) + -1(x + -1)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Reorder the terms:
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + -1(-1 + x)(-5)(-5) + -1(-3)(x + -4)(-3) = 0

Reorder the terms for easier multiplication:
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + -1 * -5 * -5(-1 + x) + -1(-3)(x + -4)(-3) = 0

Multiply -1 * -5
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + 5 * -5(-1 + x) + -1(-3)(x + -4)(-3) = 0

Multiply 5 * -5
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + -25(-1 + x) + -1(-3)(x + -4)(-3) = 0
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + (-1 * -25 + x * -25) + -1(-3)(x + -4)(-3) = 0
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + (25 + -25x) + -1(-3)(x + -4)(-3) = 0

Reorder the terms:
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + 25 + -25x + -1 * -3(-4 + x)(-3) = 0

Reorder the terms for easier multiplication:
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + 25 + -25x + -1 * -3 * -3(-4 + x) = 0

Multiply -1 * -3
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + 25 + -25x + 3 * -3(-4 + x) = 0

Multiply 3 * -3
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + 25 + -25x + -9(-4 + x) = 0
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + 25 + -25x + (-4 * -9 + x * -9) = 0
-24 + 34x + -11x2 + x3 + -30 + -30 + 24 + -4x + 25 + -25x + (36 + -9x) = 0

Reorder the terms:
-24 + -30 + -30 + 24 + 25 + 36 + 34x + -4x + -25x + -9x + -11x2 + x3 = 0

Combine like terms: -24 + -30 = -54
-54 + -30 + 24 + 25 + 36 + 34x + -4x + -25x + -9x + -11x2 + x3 = 0

Combine like terms: -54 + -30 = -84
-84 + 24 + 25 + 36 + 34x + -4x + -25x + -9x + -11x2 + x3 = 0

Combine like terms: -84 + 24 = -60
-60 + 25 + 36 + 34x + -4x + -25x + -9x + -11x2 + x3 = 0

Combine like terms: -60 + 25 = -35
-35 + 36 + 34x + -4x + -25x + -9x + -11x2 + x3 = 0

Combine like terms: -35 + 36 = 1
1 + 34x + -4x + -25x + -9x + -11x2 + x3 = 0

Combine like terms: 34x + -4x = 30x
1 + 30x + -25x + -9x + -11x2 + x3 = 0

Combine like terms: 30x + -25x = 5x
1 + 5x + -9x + -11x2 + x3 = 0

Combine like terms: 5x + -9x = -4x
1 + -4x + -11x2 + x3 = 0

Solving
1 + -4x + -11x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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