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

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


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

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

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

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

Combine like terms: -3ab + 2ab = -1ab
(-1ab + 2a2 + -3b2) = 0

Solving
-1ab + 2a2 + -3b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2a + -3b)(a + b) = 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 '(a + b)' equal to zero and attempt to solve:

Simplifying
a + b = 0

Solving
a + b = 0

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

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

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

Simplifying
a = -1b
Solution
a = {1.5b, -1b}

See similar equations:

| g-92=-74 | | (7y-4t)(2y+5t)= | | 2m+18=5m-12 | | 15(2x-3)-2(x-2)=26 | | 2x^2-52x+338=0 | | -3d=-75 | | cos(x)+cos(7x)-cos(4x)=0 | | (3t+2q)(7t-9q)= | | u+25=-61 | | 5r^2-55r+15=0 | | cos(x)+cox(7x)-cox(4x)=0 | | 89=n+3 | | 15y^3+12y^2+6y= | | 2+0.3y=11 | | 2(7x+5)=3(3x-2) | | 9(m)=25(m)+22 | | 6m+14m=-16 | | 6b^2=-18b | | 21=2p-9 | | 40+3x+20-5x=30 | | G+2g+6=6g-21 | | 20x-27=73 | | 5(z)+8=4(z)+20 | | 1.3x+3=-1 | | -6x+9y=84 | | 2w-21.5=9 | | 2x-3y=-28 | | 40-4x=2-10 | | -24y^3-64y^2=0 | | (Y^2+3)(y^2-12)=0 | | 7(x-2)=4(x+5) | | 7x-28=6x-1 |

Equations solver categories