(3b-5)(2b+1)=(6b-5)(b-2)

Simple and best practice solution for (3b-5)(2b+1)=(6b-5)(b-2) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (3b-5)(2b+1)=(6b-5)(b-2) equation: 


Simplifying
(3b + -5)(2b + 1) = (6b + -5)(b + -2)

Reorder the terms:
(-5 + 3b)(2b + 1) = (6b + -5)(b + -2)

Reorder the terms:
(-5 + 3b)(1 + 2b) = (6b + -5)(b + -2)

Multiply (-5 + 3b) * (1 + 2b)
(-5(1 + 2b) + 3b * (1 + 2b)) = (6b + -5)(b + -2)
((1 * -5 + 2b * -5) + 3b * (1 + 2b)) = (6b + -5)(b + -2)
((-5 + -10b) + 3b * (1 + 2b)) = (6b + -5)(b + -2)
(-5 + -10b + (1 * 3b + 2b * 3b)) = (6b + -5)(b + -2)
(-5 + -10b + (3b + 6b2)) = (6b + -5)(b + -2)

Combine like terms: -10b + 3b = -7b
(-5 + -7b + 6b2) = (6b + -5)(b + -2)

Reorder the terms:
-5 + -7b + 6b2 = (-5 + 6b)(b + -2)

Reorder the terms:
-5 + -7b + 6b2 = (-5 + 6b)(-2 + b)

Multiply (-5 + 6b) * (-2 + b)
-5 + -7b + 6b2 = (-5(-2 + b) + 6b * (-2 + b))
-5 + -7b + 6b2 = ((-2 * -5 + b * -5) + 6b * (-2 + b))
-5 + -7b + 6b2 = ((10 + -5b) + 6b * (-2 + b))
-5 + -7b + 6b2 = (10 + -5b + (-2 * 6b + b * 6b))
-5 + -7b + 6b2 = (10 + -5b + (-12b + 6b2))

Combine like terms: -5b + -12b = -17b
-5 + -7b + 6b2 = (10 + -17b + 6b2)

Add '-6b2' to each side of the equation.
-5 + -7b + 6b2 + -6b2 = 10 + -17b + 6b2 + -6b2

Combine like terms: 6b2 + -6b2 = 0
-5 + -7b + 0 = 10 + -17b + 6b2 + -6b2
-5 + -7b = 10 + -17b + 6b2 + -6b2

Combine like terms: 6b2 + -6b2 = 0
-5 + -7b = 10 + -17b + 0
-5 + -7b = 10 + -17b

Solving
-5 + -7b = 10 + -17b

Solving for variable 'b'.

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

Add '17b' to each side of the equation.
-5 + -7b + 17b = 10 + -17b + 17b

Combine like terms: -7b + 17b = 10b
-5 + 10b = 10 + -17b + 17b

Combine like terms: -17b + 17b = 0
-5 + 10b = 10 + 0
-5 + 10b = 10

Add '5' to each side of the equation.
-5 + 5 + 10b = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 10b = 10 + 5
10b = 10 + 5

Combine like terms: 10 + 5 = 15
10b = 15

Divide each side by '10'.
b = 1.5

Simplifying
b = 1.5

See similar equations:

| 4=4y-2y-2 | | mx+2m=n | | and+2m=n | | 2p=kx-1 | | 2x+20=5(x-20) | | x^2-3/4=0 | | jx-k=m | | 16x^2-24x+22=0 | | 2(4.3x-0.7)=9.9+0.1x | | -15x=-5x+5 | | 62=4Y+X*X | | 4Y+X*x=62 | | -x^2+14*x=49 | | 21/2042/40= | | 42/40= | | 14x+6y=58 | | 20/1/20= | | 6(w-6)-8w=-34 | | 3x^3-9x^2+27x-34=0 | | 3x^2-9x^2+27x-34=0 | | 9/2p=27/4 | | 10n/5-5/5 | | f(x)=3x+y | | 24x+5y=29 | | T=3b | | 3(2y^2-4)-(2y^2+7)4=2(5-2y^2) | | 4/5x-4=3/5(x-5) | | 3x-2=10-2x | | m-3n+1=0 | | -logx=7 | | 7/10x=2/5 | | x-1=2x-(3x+5) |

Equations solver categories