(3-x)((-x)(x-1)+10)-(12(x+1)-20)+(24+4x)=0

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Solution for (3-x)((-x)(x-1)+10)-(12(x+1)-20)+(24+4x)=0 equation:


Simplifying
(3 + -1x)((-1x)(x + -1) + 10) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Remove parenthesis around (-1x)
(3 + -1x)(-1x(x + -1) + 10) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Reorder the terms:
(3 + -1x)(-1x(-1 + x) + 10) + -1(12(x + 1) + -20) + (24 + 4x) = 0
(3 + -1x)((-1 * -1x + x * -1x) + 10) + -1(12(x + 1) + -20) + (24 + 4x) = 0
(3 + -1x)((1x + -1x2) + 10) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Reorder the terms:
(3 + -1x)(10 + 1x + -1x2) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Multiply (3 + -1x) * (10 + 1x + -1x2)
(3(10 + 1x + -1x2) + -1x * (10 + 1x + -1x2)) + -1(12(x + 1) + -20) + (24 + 4x) = 0
((10 * 3 + 1x * 3 + -1x2 * 3) + -1x * (10 + 1x + -1x2)) + -1(12(x + 1) + -20) + (24 + 4x) = 0
((30 + 3x + -3x2) + -1x * (10 + 1x + -1x2)) + -1(12(x + 1) + -20) + (24 + 4x) = 0
(30 + 3x + -3x2 + (10 * -1x + 1x * -1x + -1x2 * -1x)) + -1(12(x + 1) + -20) + (24 + 4x) = 0
(30 + 3x + -3x2 + (-10x + -1x2 + 1x3)) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Reorder the terms:
(30 + 3x + -10x + -3x2 + -1x2 + 1x3) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Combine like terms: 3x + -10x = -7x
(30 + -7x + -3x2 + -1x2 + 1x3) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Combine like terms: -3x2 + -1x2 = -4x2
(30 + -7x + -4x2 + 1x3) + -1(12(x + 1) + -20) + (24 + 4x) = 0

Reorder the terms:
30 + -7x + -4x2 + 1x3 + -1(12(1 + x) + -20) + (24 + 4x) = 0
30 + -7x + -4x2 + 1x3 + -1((1 * 12 + x * 12) + -20) + (24 + 4x) = 0
30 + -7x + -4x2 + 1x3 + -1((12 + 12x) + -20) + (24 + 4x) = 0

Reorder the terms:
30 + -7x + -4x2 + 1x3 + -1(12 + -20 + 12x) + (24 + 4x) = 0

Combine like terms: 12 + -20 = -8
30 + -7x + -4x2 + 1x3 + -1(-8 + 12x) + (24 + 4x) = 0
30 + -7x + -4x2 + 1x3 + (-8 * -1 + 12x * -1) + (24 + 4x) = 0
30 + -7x + -4x2 + 1x3 + (8 + -12x) + (24 + 4x) = 0

Remove parenthesis around (24 + 4x)
30 + -7x + -4x2 + 1x3 + 8 + -12x + 24 + 4x = 0

Reorder the terms:
30 + 8 + 24 + -7x + -12x + 4x + -4x2 + 1x3 = 0

Combine like terms: 30 + 8 = 38
38 + 24 + -7x + -12x + 4x + -4x2 + 1x3 = 0

Combine like terms: 38 + 24 = 62
62 + -7x + -12x + 4x + -4x2 + 1x3 = 0

Combine like terms: -7x + -12x = -19x
62 + -19x + 4x + -4x2 + 1x3 = 0

Combine like terms: -19x + 4x = -15x
62 + -15x + -4x2 + 1x3 = 0

Solving
62 + -15x + -4x2 + 1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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