(2a-3b)(2a-b)=

Simple and best practice solution for (2a-3b)(2a-b)= 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 (2a-3b)(2a-b)= equation: 


Simplifying
(2a + -3b)(2a + -1b) = 0

Multiply (2a + -3b) * (2a + -1b)
(2a * (2a + -1b) + -3b * (2a + -1b)) = 0
((2a * 2a + -1b * 2a) + -3b * (2a + -1b)) = 0

Reorder the terms:
((-2ab + 4a2) + -3b * (2a + -1b)) = 0
((-2ab + 4a2) + -3b * (2a + -1b)) = 0
(-2ab + 4a2 + (2a * -3b + -1b * -3b)) = 0
(-2ab + 4a2 + (-6ab + 3b2)) = 0

Reorder the terms:
(-2ab + -6ab + 4a2 + 3b2) = 0

Combine like terms: -2ab + -6ab = -8ab
(-8ab + 4a2 + 3b2) = 0

Solving
-8ab + 4a2 + 3b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -3b)(2a + -1b) = 0


Subproblem 1
Set the factor '(2a + -3b)' equal to zero and attempt to solve:

Simplifying
2a + -3b = 0

Solving
2a + -3b = 0

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

Add '3b' to each side of the equation.
2a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
2a + 0 = 0 + 3b
2a = 0 + 3b
Remove the zero:
2a = 3b

Divide each side by '2'.
a = 1.5b

Simplifying
a = 1.5b

Subproblem 2
Set the factor '(2a + -1b)' equal to zero and attempt to solve:

Simplifying
2a + -1b = 0

Solving
2a + -1b = 0

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

Add 'b' to each side of the equation.
2a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
2a + 0 = 0 + b
2a = 0 + b
Remove the zero:
2a = b

Divide each side by '2'.
a = 0.5b

Simplifying
a = 0.5b
Solution
a = {1.5b, 0.5b}

See similar equations:

| -7n-20=82 | | g(-3)+1=-3(2)-2(3) | | 4+x*4=24 | | 2k+9=5k | | 1/3+h=5/6 | | -16x^2+10x-256=0 | | x^2=-5x+24 | | -3s+5-6+3+s-2= | | y=-3(-1)-9 | | 3(3y)-9y=0 | | 5=-12-4(-1) | | (w-3)-(9w+5)= | | 1=-12-4(-3) | | 25=10-4 | | 2*3*(-4)= | | 5-1/3*3 | | g(-3)+1=(-3+1)2-2(3+1) | | (8x/-5)+(2x/-3) | | 5x+2=8-2x | | 9x+6+8x+5= | | 9.4=t-3.5 | | 30*3+h*42+195=390 | | 15x^2+44x=3 | | 2.36-0.2(x+0.8)=x+.5(.4x-1.2) | | Y-2=30 | | 18-10x=-22 | | -90=4t | | 0.6-2=4 | | 9+6(-5x+7)=-6(-x-2)+8 | | 7.3-6x=-4.1 | | 22.5*2+3=x | | X+5=2Y |

Equations solver categories