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

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


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

Reorder the terms:
(-2a + 3x)(3x + a) = 0

Reorder the terms:
(-2a + 3x)(a + 3x) = 0

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

Reorder the terms:
((-6ax + -2a2) + 3x * (a + 3x)) = 0
((-6ax + -2a2) + 3x * (a + 3x)) = 0
(-6ax + -2a2 + (a * 3x + 3x * 3x)) = 0
(-6ax + -2a2 + (3ax + 9x2)) = 0

Reorder the terms:
(-6ax + 3ax + -2a2 + 9x2) = 0

Combine like terms: -6ax + 3ax = -3ax
(-3ax + -2a2 + 9x2) = 0

Solving
-3ax + -2a2 + 9x2 = 0

Solving for variable 'a'.

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


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

Simplifying
-1a + -3x = 0

Solving
-1a + -3x = 0

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

Add '3x' to each side of the equation.
-1a + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
-1a + 0 = 0 + 3x
-1a = 0 + 3x
Remove the zero:
-1a = 3x

Divide each side by '-1'.
a = -3x

Simplifying
a = -3x

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

Simplifying
2a + -3x = 0

Solving
2a + -3x = 0

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

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

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

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

Simplifying
a = 1.5x
Solution
a = {-3x, 1.5x}

See similar equations:

| 2x=ax-b | | x+510-10x=219 | | 10(10-6)= | | x+510-10x=213 | | 3t-5=-2 | | (2a-3b)(2a+3b)= | | 8x-13=3x+8 | | (x+2)*(x+1)=0 | | 4(2a+3)=-3(a-1) | | x^3-114*x^2+3025*x+224=0 | | -4+3x=-12+13 | | -10t+2=-10 | | 7+3x+3=6x+40-8x | | 10(9-4)= | | 3f-24=0 | | 4t^2-5t-12=0 | | 4(10-3)= | | 12-2+5x=15 | | 3(3x+5)=2(x+25) | | 8s-56=-132 | | 3x+11=-34-6x | | -(c-10)=-1 | | 6+3x=2+x | | 4t+16=12 | | 4x+a=6x-8 | | 5a+6x=8x-3a | | 6x-5+115=180 | | 20s+25=125 | | 14l+35=147 | | ln(4x+3)=1 | | 5(7x+8)=6x-11 | | 2a-8=36 |

Equations solver categories