Bx^3-(3b+2)x^2-(10b-6)x+20=0

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Solution for Bx^3-(3b+2)x^2-(10b-6)x+20=0 equation: 


Simplifying
Bx3 + -1(3b + 2) * x2 + -1(10b + -6) * x + 20 = 0

Reorder the terms:
x3B + -1(2 + 3b) * x2 + -1(10b + -6) * x + 20 = 0

Reorder the terms for easier multiplication:
x3B + -1x2(2 + 3b) + -1(10b + -6) * x + 20 = 0
x3B + (2 * -1x2 + 3b * -1x2) + -1(10b + -6) * x + 20 = 0

Reorder the terms:
x3B + (-3bx2 + -2x2) + -1(10b + -6) * x + 20 = 0
x3B + (-3bx2 + -2x2) + -1(10b + -6) * x + 20 = 0

Reorder the terms:
x3B + -3bx2 + -2x2 + -1(-6 + 10b) * x + 20 = 0

Reorder the terms for easier multiplication:
x3B + -3bx2 + -2x2 + -1x(-6 + 10b) + 20 = 0
x3B + -3bx2 + -2x2 + (-6 * -1x + 10b * -1x) + 20 = 0

Reorder the terms:
x3B + -3bx2 + -2x2 + (-10bx + 6x) + 20 = 0
x3B + -3bx2 + -2x2 + (-10bx + 6x) + 20 = 0

Reorder the terms:
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0

Solving
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0

Solving for variable 'b'.

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

Add '-20' to each side of the equation.
20 + -10bx + -3bx2 + 6x + -2x2 + -20 + x3B = 0 + -20

Reorder the terms:
20 + -20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0 + -20
-10bx + -3bx2 + 6x + -2x2 + x3B = 0 + -20

Combine like terms: 0 + -20 = -20
-10bx + -3bx2 + 6x + -2x2 + x3B = -20

Add '-6x' to each side of the equation.
-10bx + -3bx2 + 6x + -2x2 + -6x + x3B = -20 + -6x

Reorder the terms:
-10bx + -3bx2 + 6x + -6x + -2x2 + x3B = -20 + -6x

Combine like terms: 6x + -6x = 0
-10bx + -3bx2 + 0 + -2x2 + x3B = -20 + -6x
-10bx + -3bx2 + -2x2 + x3B = -20 + -6x

Add '2x2' to each side of the equation.
-10bx + -3bx2 + -2x2 + 2x2 + x3B = -20 + -6x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-10bx + -3bx2 + 0 + x3B = -20 + -6x + 2x2
-10bx + -3bx2 + x3B = -20 + -6x + 2x2

Add '-1x3B' to each side of the equation.
-10bx + -3bx2 + x3B + -1x3B = -20 + -6x + 2x2 + -1x3B

Combine like terms: x3B + -1x3B = 0
-10bx + -3bx2 + 0 = -20 + -6x + 2x2 + -1x3B
-10bx + -3bx2 = -20 + -6x + 2x2 + -1x3B

Reorder the terms:
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = -20 + -6x + 2x2 + -1x3B + 20 + 6x + -2x2 + x3B

Reorder the terms:
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = -20 + 20 + -6x + 6x + 2x2 + -2x2 + -1x3B + x3B

Combine like terms: -20 + 20 = 0
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0 + -6x + 6x + 2x2 + -2x2 + -1x3B + x3B
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = -6x + 6x + 2x2 + -2x2 + -1x3B + x3B

Combine like terms: -6x + 6x = 0
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0 + 2x2 + -2x2 + -1x3B + x3B
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 2x2 + -2x2 + -1x3B + x3B

Combine like terms: 2x2 + -2x2 = 0
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0 + -1x3B + x3B
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = -1x3B + x3B

Combine like terms: -1x3B + x3B = 0
20 + -10bx + -3bx2 + 6x + -2x2 + x3B = 0

The solution to this equation could not be determined.

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