(3x-8)(mx+b)=2x^2+5x-3

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Solution for (3x-8)(mx+b)=2x^2+5x-3 equation: 


Simplifying
(3x + -8)(mx + b) = 2x2 + 5x + -3

Reorder the terms:
(-8 + 3x)(mx + b) = 2x2 + 5x + -3

Reorder the terms:
(-8 + 3x)(b + mx) = 2x2 + 5x + -3

Multiply (-8 + 3x) * (b + mx)
(-8(b + mx) + 3x * (b + mx)) = 2x2 + 5x + -3
((b * -8 + mx * -8) + 3x * (b + mx)) = 2x2 + 5x + -3
((-8b + -8mx) + 3x * (b + mx)) = 2x2 + 5x + -3
(-8b + -8mx + (b * 3x + mx * 3x)) = 2x2 + 5x + -3
(-8b + -8mx + (3bx + 3mx2)) = 2x2 + 5x + -3

Reorder the terms:
(-8b + 3bx + -8mx + 3mx2) = 2x2 + 5x + -3
(-8b + 3bx + -8mx + 3mx2) = 2x2 + 5x + -3

Reorder the terms:
-8b + 3bx + -8mx + 3mx2 = -3 + 5x + 2x2

Solving
-8b + 3bx + -8mx + 3mx2 = -3 + 5x + 2x2

Solving for variable 'b'.

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

Add '8mx' to each side of the equation.
-8b + 3bx + -8mx + 8mx + 3mx2 = -3 + 5x + 8mx + 2x2

Combine like terms: -8mx + 8mx = 0
-8b + 3bx + 0 + 3mx2 = -3 + 5x + 8mx + 2x2
-8b + 3bx + 3mx2 = -3 + 5x + 8mx + 2x2

Reorder the terms:
-8b + 3bx + 3mx2 = -3 + 8mx + 5x + 2x2

Add '-3mx2' to each side of the equation.
-8b + 3bx + 3mx2 + -3mx2 = -3 + 8mx + 5x + -3mx2 + 2x2

Combine like terms: 3mx2 + -3mx2 = 0
-8b + 3bx + 0 = -3 + 8mx + 5x + -3mx2 + 2x2
-8b + 3bx = -3 + 8mx + 5x + -3mx2 + 2x2

Reorder the terms:
-8b + 3bx = -3 + 8mx + -3mx2 + 5x + 2x2

Reorder the terms:
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = -3 + 8mx + -3mx2 + 5x + 2x2 + 3 + -8mx + 3mx2 + -5x + -2x2

Reorder the terms:
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = -3 + 3 + 8mx + -8mx + -3mx2 + 3mx2 + 5x + -5x + 2x2 + -2x2

Combine like terms: -3 + 3 = 0
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 0 + 8mx + -8mx + -3mx2 + 3mx2 + 5x + -5x + 2x2 + -2x2
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 8mx + -8mx + -3mx2 + 3mx2 + 5x + -5x + 2x2 + -2x2

Combine like terms: 8mx + -8mx = 0
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 0 + -3mx2 + 3mx2 + 5x + -5x + 2x2 + -2x2
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = -3mx2 + 3mx2 + 5x + -5x + 2x2 + -2x2

Combine like terms: -3mx2 + 3mx2 = 0
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 0 + 2x2 + -2x2
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + -8b + 3bx + -8mx + 3mx2 + -5x + -2x2 = 0

The solution to this equation could not be determined.

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