2x^2+(3b-1)x-3=6x^2-(2b-3)x-1

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Solution for 2x^2+(3b-1)x-3=6x^2-(2b-3)x-1 equation:


Simplifying
2x2 + (3b + -1) * x + -3 = 6x2 + -1(2b + -3) * x + -1

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

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

Reorder the terms:
2x2 + (3bx + -1x) + -3 = 6x2 + -1(2b + -3) * x + -1
2x2 + (3bx + -1x) + -3 = 6x2 + -1(2b + -3) * x + -1

Reorder the terms:
-3 + 3bx + -1x + 2x2 = 6x2 + -1(2b + -3) * x + -1

Reorder the terms:
-3 + 3bx + -1x + 2x2 = 6x2 + -1(-3 + 2b) * x + -1

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

Reorder the terms:
-3 + 3bx + -1x + 2x2 = 6x2 + (-2bx + 3x) + -1
-3 + 3bx + -1x + 2x2 = 6x2 + (-2bx + 3x) + -1

Reorder the terms:
-3 + 3bx + -1x + 2x2 = -1 + -2bx + 3x + 6x2

Solving
-3 + 3bx + -1x + 2x2 = -1 + -2bx + 3x + 6x2

Solving for variable 'b'.

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

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

Reorder the terms:
-3 + 3bx + 2bx + -1x + 2x2 = -1 + -2bx + 3x + 2bx + 6x2

Combine like terms: 3bx + 2bx = 5bx
-3 + 5bx + -1x + 2x2 = -1 + -2bx + 3x + 2bx + 6x2

Reorder the terms:
-3 + 5bx + -1x + 2x2 = -1 + -2bx + 2bx + 3x + 6x2

Combine like terms: -2bx + 2bx = 0
-3 + 5bx + -1x + 2x2 = -1 + 0 + 3x + 6x2
-3 + 5bx + -1x + 2x2 = -1 + 3x + 6x2

Add '3' to each side of the equation.
-3 + 5bx + -1x + 3 + 2x2 = -1 + 3x + 3 + 6x2

Reorder the terms:
-3 + 3 + 5bx + -1x + 2x2 = -1 + 3x + 3 + 6x2

Combine like terms: -3 + 3 = 0
0 + 5bx + -1x + 2x2 = -1 + 3x + 3 + 6x2
5bx + -1x + 2x2 = -1 + 3x + 3 + 6x2

Reorder the terms:
5bx + -1x + 2x2 = -1 + 3 + 3x + 6x2

Combine like terms: -1 + 3 = 2
5bx + -1x + 2x2 = 2 + 3x + 6x2

Add 'x' to each side of the equation.
5bx + -1x + x + 2x2 = 2 + 3x + x + 6x2

Combine like terms: -1x + x = 0
5bx + 0 + 2x2 = 2 + 3x + x + 6x2
5bx + 2x2 = 2 + 3x + x + 6x2

Combine like terms: 3x + x = 4x
5bx + 2x2 = 2 + 4x + 6x2

Add '-2x2' to each side of the equation.
5bx + 2x2 + -2x2 = 2 + 4x + 6x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5bx + 0 = 2 + 4x + 6x2 + -2x2
5bx = 2 + 4x + 6x2 + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
5bx = 2 + 4x + 4x2

Divide each side by '5x'.
b = 0.4x-1 + 0.8 + 0.8x

Simplifying
b = 0.4x-1 + 0.8 + 0.8x

Reorder the terms:
b = 0.8 + 0.4x-1 + 0.8x

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