12*a*b*x^3+9*b*x^2+9*a*x^2+2*a*b*x+6*x-5*a*b*x^4-4*b*x^3-4*a*x^3-3*x^2-9*a*b*x^2-6*b*x-6*a*x+a+b-3=0

Simple and best practice solution for 12*a*b*x^3+9*b*x^2+9*a*x^2+2*a*b*x+6*x-5*a*b*x^4-4*b*x^3-4*a*x^3-3*x^2-9*a*b*x^2-6*b*x-6*a*x+a+b-3=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`

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Solution for 12*a*b*x^3+9*b*x^2+9*a*x^2+2*a*b*x+6*x-5*a*b*x^4-4*b*x^3-4*a*x^3-3*x^2-9*a*b*x^2-6*b*x-6*a*x+a+b-3=0 equation: 


Simplifying
12a * b * x3 + 9b * x2 + 9a * x2 + 2a * b * x + 6x + -5a * b * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply a * b
12ab * x3 + 9b * x2 + 9a * x2 + 2a * b * x + 6x + -5a * b * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply ab * x3
12abx3 + 9b * x2 + 9a * x2 + 2a * b * x + 6x + -5a * b * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply b * x2
12abx3 + 9bx2 + 9a * x2 + 2a * b * x + 6x + -5a * b * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply a * x2
12abx3 + 9bx2 + 9ax2 + 2a * b * x + 6x + -5a * b * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply a * b
12abx3 + 9bx2 + 9ax2 + 2ab * x + 6x + -5a * b * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply ab * x
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5a * b * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply a * b
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5ab * x4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply ab * x4
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5abx4 + -4b * x3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply b * x3
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5abx4 + -4bx3 + -4a * x3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply a * x3
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5abx4 + -4bx3 + -4ax3 + -3x2 + -9a * b * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply a * b
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5abx4 + -4bx3 + -4ax3 + -3x2 + -9ab * x2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply ab * x2
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5abx4 + -4bx3 + -4ax3 + -3x2 + -9abx2 + -6b * x + -6a * x + a + b + -3 = 0

Multiply b * x
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5abx4 + -4bx3 + -4ax3 + -3x2 + -9abx2 + -6bx + -6a * x + a + b + -3 = 0

Multiply a * x
12abx3 + 9bx2 + 9ax2 + 2abx + 6x + -5abx4 + -4bx3 + -4ax3 + -3x2 + -9abx2 + -6bx + -6ax + a + b + -3 = 0

Reorder the terms:
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0

Solving
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + 3 + -3x2 = 0 + 3

Reorder the terms:
-3 + 3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + 3
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + 3

Combine like terms: 0 + 3 = 3
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3

Add '-1b' to each side of the equation.
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -1b + -3x2 = 3 + -1b

Reorder the terms:
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -1b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b

Combine like terms: b + -1b = 0
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 0 + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b

Add '6bx' to each side of the equation.
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -6bx + 9bx2 + -4bx3 + 6x + 6bx + -3x2 = 3 + -1b + 6bx

Reorder the terms:
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -6bx + 6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b + 6bx

Combine like terms: -6bx + 6bx = 0
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 0 + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b + 6bx
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b + 6bx

Add '-9bx2' to each side of the equation.
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 9bx2 + -4bx3 + 6x + -9bx2 + -3x2 = 3 + -1b + 6bx + -9bx2

Reorder the terms:
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 9bx2 + -9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b + 6bx + -9bx2

Combine like terms: 9bx2 + -9bx2 = 0
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 0 + -4bx3 + 6x + -3x2 = 3 + -1b + 6bx + -9bx2
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -4bx3 + 6x + -3x2 = 3 + -1b + 6bx + -9bx2

Add '4bx3' to each side of the equation.
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -4bx3 + 6x + 4bx3 + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3

Reorder the terms:
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -4bx3 + 4bx3 + 6x + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3

Combine like terms: -4bx3 + 4bx3 = 0
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 0 + 6x + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 6x + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3

Add '-6x' to each side of the equation.
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 6x + -6x + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3 + -6x

Combine like terms: 6x + -6x = 0
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 0 + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3 + -6x
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3 + -6x

Add '3x2' to each side of the equation.
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + -3x2 + 3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3 + -6x + 3x2

Combine like terms: -3x2 + 3x2 = 0
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + 0 = 3 + -1b + 6bx + -9bx2 + 4bx3 + -6x + 3x2
a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 = 3 + -1b + 6bx + -9bx2 + 4bx3 + -6x + 3x2

Reorder the terms:
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -1b + 6bx + -9bx2 + 4bx3 + -6x + 3x2 + -3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2

Reorder the terms:
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3 + -3 + -1b + b + 6bx + -6bx + -9bx2 + 9bx2 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2

Combine like terms: 3 + -3 = 0
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + -1b + b + 6bx + -6bx + -9bx2 + 9bx2 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = -1b + b + 6bx + -6bx + -9bx2 + 9bx2 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2

Combine like terms: -1b + b = 0
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + 6bx + -6bx + -9bx2 + 9bx2 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 6bx + -6bx + -9bx2 + 9bx2 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2

Combine like terms: 6bx + -6bx = 0
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + -9bx2 + 9bx2 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = -9bx2 + 9bx2 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2

Combine like terms: -9bx2 + 9bx2 = 0
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 4bx3 + -4bx3 + -6x + 6x + 3x2 + -3x2

Combine like terms: 4bx3 + -4bx3 = 0
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + -6x + 6x + 3x2 + -3x2
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0 + 3x2 + -3x2
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3 + a + 2abx + -9abx2 + 12abx3 + -5abx4 + -6ax + 9ax2 + -4ax3 + b + -6bx + 9bx2 + -4bx3 + 6x + -3x2 = 0

The solution to this equation could not be determined.

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