(6a-9uv)(a+uv)=

Simple and best practice solution for (6a-9uv)(a+uv)= 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 (6a-9uv)(a+uv)= equation:


Simplifying
(6a + -9uv)(a + uv) = 0

Multiply (6a + -9uv) * (a + uv)
(6a * (a + uv) + -9uv * (a + uv)) = 0
((a * 6a + uv * 6a) + -9uv * (a + uv)) = 0

Reorder the terms:
((6auv + 6a2) + -9uv * (a + uv)) = 0
((6auv + 6a2) + -9uv * (a + uv)) = 0
(6auv + 6a2 + (a * -9uv + uv * -9uv)) = 0
(6auv + 6a2 + (-9auv + -9u2v2)) = 0

Reorder the terms:
(6auv + -9auv + 6a2 + -9u2v2) = 0

Combine like terms: 6auv + -9auv = -3auv
(-3auv + 6a2 + -9u2v2) = 0

Solving
-3auv + 6a2 + -9u2v2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1auv + 2a2 + -3u2v2) = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(2a + -3uv)' equal to zero and attempt to solve: Simplifying 2a + -3uv = 0 Solving 2a + -3uv = 0 Move all terms containing a to the left, all other terms to the right. Add '3uv' to each side of the equation. 2a + -3uv + 3uv = 0 + 3uv Combine like terms: -3uv + 3uv = 0 2a + 0 = 0 + 3uv 2a = 0 + 3uv Remove the zero: 2a = 3uv Divide each side by '2'. a = 1.5uv Simplifying a = 1.5uv

Subproblem 2

Set the factor '(a + uv)' equal to zero and attempt to solve: Simplifying a + uv = 0 Solving a + uv = 0 Move all terms containing a to the left, all other terms to the right. Add '-1uv' to each side of the equation. a + uv + -1uv = 0 + -1uv Combine like terms: uv + -1uv = 0 a + 0 = 0 + -1uv a = 0 + -1uv Remove the zero: a = -1uv Simplifying a = -1uv

Solution

a = {1.5uv, -1uv}

See similar equations:

| 2*x-4+x=16 | | 5m+2=-6 | | 8m-11=69 | | -w^2+6w-27=0 | | 10h-27=73 | | (2x-3as^2)(2x-as^2)= | | 7u^2-56=0 | | (6s+8nx^2)(s-nx^2)= | | (y+nv)(4y+4nv)= | | 8-(-3xa)=17 | | (x^2-y)(2x^2+5y)= | | 2x+(5x-2)+(3x-4)=14 | | (3*x)+7=(x*4)-6 | | 5w^2+25=85 | | 7v^2=56 | | (a-b^2)(4a+2b^2)= | | 12/x=32 | | (4x+4y)(x-2y)= | | 32=12/x | | 6y-4x-12=0 | | 3-x+2x=-9 | | (12-3x)+2x=180 | | 4x+10=16-2x | | 3-x+2x=9 | | -2x^2-4x+3=0 | | 6x+7=55-2x | | 6x=144-10x | | 8x+20=90-2x | | 7x=117-6x | | f(x)=x-8 | | 5x=-(9+3y) | | -4(2x+9)-(-8x+3)-(x+13)=0 |

Equations solver categories