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

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


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

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

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

Reorder the terms:
0 = (3 + -1x)(-4 + -4 + 3x + 1x2) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v

Combine like terms: -4 + -4 = -8
0 = (3 + -1x)(-8 + 3x + 1x2) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v

Multiply (3 + -1x) * (-8 + 3x + 1x2)
0 = (3(-8 + 3x + 1x2) + -1x * (-8 + 3x + 1x2)) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v
0 = ((-8 * 3 + 3x * 3 + 1x2 * 3) + -1x * (-8 + 3x + 1x2)) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v
0 = ((-24 + 9x + 3x2) + -1x * (-8 + 3x + 1x2)) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v
0 = (-24 + 9x + 3x2 + (-8 * -1x + 3x * -1x + 1x2 * -1x)) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v
0 = (-24 + 9x + 3x2 + (8x + -3x2 + -1x3)) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v

Reorder the terms:
0 = (-24 + 9x + 8x + 3x2 + -3x2 + -1x3) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v

Combine like terms: 9x + 8x = 17x
0 = (-24 + 17x + 3x2 + -3x2 + -1x3) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v

Combine like terms: 3x2 + -3x2 = 0
0 = (-24 + 17x + 0 + -1x3) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v
0 = (-24 + 17x + -1x3) + -2(-2(-4 + -1x) + -2) + 6(4 + (1 + x)) * v
0 = -24 + 17x + -1x3 + -2((-4 * -2 + -1x * -2) + -2) + 6(4 + (1 + x)) * v
0 = -24 + 17x + -1x3 + -2((8 + 2x) + -2) + 6(4 + (1 + x)) * v

Reorder the terms:
0 = -24 + 17x + -1x3 + -2(8 + -2 + 2x) + 6(4 + (1 + x)) * v

Combine like terms: 8 + -2 = 6
0 = -24 + 17x + -1x3 + -2(6 + 2x) + 6(4 + (1 + x)) * v
0 = -24 + 17x + -1x3 + (6 * -2 + 2x * -2) + 6(4 + (1 + x)) * v
0 = -24 + 17x + -1x3 + (-12 + -4x) + 6(4 + (1 + x)) * v

Remove parenthesis around (1 + x)
0 = -24 + 17x + -1x3 + -12 + -4x + 6(4 + 1 + x) * v

Combine like terms: 4 + 1 = 5
0 = -24 + 17x + -1x3 + -12 + -4x + 6(5 + x) * v

Reorder the terms for easier multiplication:
0 = -24 + 17x + -1x3 + -12 + -4x + 6v(5 + x)
0 = -24 + 17x + -1x3 + -12 + -4x + (5 * 6v + x * 6v)
0 = -24 + 17x + -1x3 + -12 + -4x + (30v + 6vx)

Reorder the terms:
0 = -24 + -12 + 30v + 6vx + 17x + -4x + -1x3

Combine like terms: -24 + -12 = -36
0 = -36 + 30v + 6vx + 17x + -4x + -1x3

Combine like terms: 17x + -4x = 13x
0 = -36 + 30v + 6vx + 13x + -1x3

Solving
0 = -36 + 30v + 6vx + 13x + -1x3

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-30v' to each side of the equation.
0 + -30v = -36 + 30v + 6vx + 13x + -30v + -1x3
Remove the zero:
-30v = -36 + 30v + 6vx + 13x + -30v + -1x3

Reorder the terms:
-30v = -36 + 30v + -30v + 6vx + 13x + -1x3

Combine like terms: 30v + -30v = 0
-30v = -36 + 0 + 6vx + 13x + -1x3
-30v = -36 + 6vx + 13x + -1x3

Add '-6vx' to each side of the equation.
-30v + -6vx = -36 + 6vx + 13x + -6vx + -1x3

Reorder the terms:
-30v + -6vx = -36 + 6vx + -6vx + 13x + -1x3

Combine like terms: 6vx + -6vx = 0
-30v + -6vx = -36 + 0 + 13x + -1x3
-30v + -6vx = -36 + 13x + -1x3

Reorder the terms:
36 + -30v + -6vx + -13x + x3 = -36 + 13x + -1x3 + 36 + -13x + x3

Reorder the terms:
36 + -30v + -6vx + -13x + x3 = -36 + 36 + 13x + -13x + -1x3 + x3

Combine like terms: -36 + 36 = 0
36 + -30v + -6vx + -13x + x3 = 0 + 13x + -13x + -1x3 + x3
36 + -30v + -6vx + -13x + x3 = 13x + -13x + -1x3 + x3

Combine like terms: 13x + -13x = 0
36 + -30v + -6vx + -13x + x3 = 0 + -1x3 + x3
36 + -30v + -6vx + -13x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
36 + -30v + -6vx + -13x + x3 = 0

The solution to this equation could not be determined.

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