(4x^3+2x-2)(2x^2+6x+2)=8x^5+24x^4+12x^3+10x^2-8x-4

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Solution for (4x^3+2x-2)(2x^2+6x+2)=8x^5+24x^4+12x^3+10x^2-8x-4 equation: 


Simplifying
(4x3 + 2x + -2)(2x2 + 6x + 2) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Reorder the terms:
(-2 + 2x + 4x3)(2x2 + 6x + 2) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Reorder the terms:
(-2 + 2x + 4x3)(2 + 6x + 2x2) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Multiply (-2 + 2x + 4x3) * (2 + 6x + 2x2)
(-2(2 + 6x + 2x2) + 2x * (2 + 6x + 2x2) + 4x3 * (2 + 6x + 2x2)) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4
((2 * -2 + 6x * -2 + 2x2 * -2) + 2x * (2 + 6x + 2x2) + 4x3 * (2 + 6x + 2x2)) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4
((-4 + -12x + -4x2) + 2x * (2 + 6x + 2x2) + 4x3 * (2 + 6x + 2x2)) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4
(-4 + -12x + -4x2 + (2 * 2x + 6x * 2x + 2x2 * 2x) + 4x3 * (2 + 6x + 2x2)) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4
(-4 + -12x + -4x2 + (4x + 12x2 + 4x3) + 4x3 * (2 + 6x + 2x2)) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4
(-4 + -12x + -4x2 + 4x + 12x2 + 4x3 + (2 * 4x3 + 6x * 4x3 + 2x2 * 4x3)) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4
(-4 + -12x + -4x2 + 4x + 12x2 + 4x3 + (8x3 + 24x4 + 8x5)) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Reorder the terms:
(-4 + -12x + 4x + -4x2 + 12x2 + 4x3 + 8x3 + 24x4 + 8x5) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Combine like terms: -12x + 4x = -8x
(-4 + -8x + -4x2 + 12x2 + 4x3 + 8x3 + 24x4 + 8x5) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Combine like terms: -4x2 + 12x2 = 8x2
(-4 + -8x + 8x2 + 4x3 + 8x3 + 24x4 + 8x5) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Combine like terms: 4x3 + 8x3 = 12x3
(-4 + -8x + 8x2 + 12x3 + 24x4 + 8x5) = 8x5 + 24x4 + 12x3 + 10x2 + -8x + -4

Reorder the terms:
-4 + -8x + 8x2 + 12x3 + 24x4 + 8x5 = -4 + -8x + 10x2 + 12x3 + 24x4 + 8x5

Add '4' to each side of the equation.
-4 + -8x + 8x2 + 12x3 + 24x4 + 4 + 8x5 = -4 + -8x + 10x2 + 12x3 + 24x4 + 4 + 8x5

Reorder the terms:
-4 + 4 + -8x + 8x2 + 12x3 + 24x4 + 8x5 = -4 + -8x + 10x2 + 12x3 + 24x4 + 4 + 8x5

Combine like terms: -4 + 4 = 0
0 + -8x + 8x2 + 12x3 + 24x4 + 8x5 = -4 + -8x + 10x2 + 12x3 + 24x4 + 4 + 8x5
-8x + 8x2 + 12x3 + 24x4 + 8x5 = -4 + -8x + 10x2 + 12x3 + 24x4 + 4 + 8x5

Reorder the terms:
-8x + 8x2 + 12x3 + 24x4 + 8x5 = -4 + 4 + -8x + 10x2 + 12x3 + 24x4 + 8x5

Combine like terms: -4 + 4 = 0
-8x + 8x2 + 12x3 + 24x4 + 8x5 = 0 + -8x + 10x2 + 12x3 + 24x4 + 8x5
-8x + 8x2 + 12x3 + 24x4 + 8x5 = -8x + 10x2 + 12x3 + 24x4 + 8x5

Add '8x' to each side of the equation.
-8x + 8x2 + 12x3 + 24x4 + 8x + 8x5 = -8x + 10x2 + 12x3 + 24x4 + 8x + 8x5

Reorder the terms:
-8x + 8x + 8x2 + 12x3 + 24x4 + 8x5 = -8x + 10x2 + 12x3 + 24x4 + 8x + 8x5

Combine like terms: -8x + 8x = 0
0 + 8x2 + 12x3 + 24x4 + 8x5 = -8x + 10x2 + 12x3 + 24x4 + 8x + 8x5
8x2 + 12x3 + 24x4 + 8x5 = -8x + 10x2 + 12x3 + 24x4 + 8x + 8x5

Reorder the terms:
8x2 + 12x3 + 24x4 + 8x5 = -8x + 8x + 10x2 + 12x3 + 24x4 + 8x5

Combine like terms: -8x + 8x = 0
8x2 + 12x3 + 24x4 + 8x5 = 0 + 10x2 + 12x3 + 24x4 + 8x5
8x2 + 12x3 + 24x4 + 8x5 = 10x2 + 12x3 + 24x4 + 8x5

Add '-12x3' to each side of the equation.
8x2 + 12x3 + 24x4 + -12x3 + 8x5 = 10x2 + 12x3 + 24x4 + -12x3 + 8x5

Reorder the terms:
8x2 + 12x3 + -12x3 + 24x4 + 8x5 = 10x2 + 12x3 + 24x4 + -12x3 + 8x5

Combine like terms: 12x3 + -12x3 = 0
8x2 + 0 + 24x4 + 8x5 = 10x2 + 12x3 + 24x4 + -12x3 + 8x5
8x2 + 24x4 + 8x5 = 10x2 + 12x3 + 24x4 + -12x3 + 8x5

Reorder the terms:
8x2 + 24x4 + 8x5 = 10x2 + 12x3 + -12x3 + 24x4 + 8x5

Combine like terms: 12x3 + -12x3 = 0
8x2 + 24x4 + 8x5 = 10x2 + 0 + 24x4 + 8x5
8x2 + 24x4 + 8x5 = 10x2 + 24x4 + 8x5

Add '-24x4' to each side of the equation.
8x2 + 24x4 + -24x4 + 8x5 = 10x2 + 24x4 + -24x4 + 8x5

Combine like terms: 24x4 + -24x4 = 0
8x2 + 0 + 8x5 = 10x2 + 24x4 + -24x4 + 8x5
8x2 + 8x5 = 10x2 + 24x4 + -24x4 + 8x5

Combine like terms: 24x4 + -24x4 = 0
8x2 + 8x5 = 10x2 + 0 + 8x5
8x2 + 8x5 = 10x2 + 8x5

Add '-8x5' to each side of the equation.
8x2 + 8x5 + -8x5 = 10x2 + 8x5 + -8x5

Combine like terms: 8x5 + -8x5 = 0
8x2 + 0 = 10x2 + 8x5 + -8x5
8x2 = 10x2 + 8x5 + -8x5

Combine like terms: 8x5 + -8x5 = 0
8x2 = 10x2 + 0
8x2 = 10x2

Solving
8x2 = 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
8x2 + -10x2 = 10x2 + -10x2

Combine like terms: 8x2 + -10x2 = -2x2
-2x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-2x2 = 0

Divide each side by '-2'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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