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

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


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

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

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

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

Combine like terms: 4ab + -3ab = 1ab
(1ab + 2a2 + -6b2) = 0

Solving
1ab + 2a2 + -6b2 = 0

Solving for variable 'a'.

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

Simplifying
a + 2b = 0

Solving
a + 2b = 0

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

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

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

Simplifying
a = -2b
Solution
a = {1.5b, -2b}

See similar equations:

| (x^2+10x+13)/(x+7) | | 6(t-2)-16=-142 | | 9a^2+9ab-4b^2=0 | | 3(-11.4286)+10y=30 | | -6*n+(-3)+7=-5 | | 5x+3=-3x+8 | | (y+9)=(y+2) | | 4b^2-48b-25=0 | | (5x-3)/2=3x+8 | | 4x-8=20-10x | | -6+-3+7=-5 | | 4(5x+1)+6(x-2)= | | 6x-5=3x+10+5x | | 1/3+4/3 | | x+12/11=10/11x | | 5x-3/2=3x+8 | | (x-1)/4-(3x-5)/2=x | | 17(4b+16)= | | (x-1)/4-(3x-5)/2 | | 13y-17=12y+25 | | -26/33=13/11x | | 6+5lnx=36 | | X^2x=6 | | 6+5onx=36 | | 5+(-12)=x | | 9x+12-8x-14=22 | | .25*z+8=12 | | 8(y-7)/5=-3y | | .25*z+8= | | 4y+1/7=5y+4/7 | | 5(x+4)/6=4x-2 | | 11*-8y=-48 |

Equations solver categories