(6m-8)(3m+2)=

Simple and best practice solution for (6m-8)(3m+2)= 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 (6m-8)(3m+2)= equation: 


Simplifying
(6m + -8)(3m + 2) = 0

Reorder the terms:
(-8 + 6m)(3m + 2) = 0

Reorder the terms:
(-8 + 6m)(2 + 3m) = 0

Multiply (-8 + 6m) * (2 + 3m)
(-8(2 + 3m) + 6m * (2 + 3m)) = 0
((2 * -8 + 3m * -8) + 6m * (2 + 3m)) = 0
((-16 + -24m) + 6m * (2 + 3m)) = 0
(-16 + -24m + (2 * 6m + 3m * 6m)) = 0
(-16 + -24m + (12m + 18m2)) = 0

Combine like terms: -24m + 12m = -12m
(-16 + -12m + 18m2) = 0

Solving
-16 + -12m + 18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -6m + 9m2) = 0

Factor a trinomial.
2((-2 + -3m)(4 + -3m)) = 0

Ignore the factor 2.

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

Simplifying
-2 + -3m = 0

Solving
-2 + -3m = 0

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

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

Combine like terms: -2 + 2 = 0
0 + -3m = 0 + 2
-3m = 0 + 2

Combine like terms: 0 + 2 = 2
-3m = 2

Divide each side by '-3'.
m = -0.6666666667

Simplifying
m = -0.6666666667

Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve:

Simplifying
4 + -3m = 0

Solving
4 + -3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 0 + -4
-3m = 0 + -4

Combine like terms: 0 + -4 = -4
-3m = -4

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333
Solution
m = {-0.6666666667, 1.333333333}

See similar equations:

| .5y=x+1 | | 4x-31=2x-7 | | 9(4-2Y)=-(2y-4) | | 2p-5.14-1.6p=-15.83+3.3-1.5p-0.4 | | 2m-12=8-3k | | (-6xy)*(xy)=0 | | -3(-3)+10=-30 | | (T+6)(3t+9)= | | -3(-3)+10=30 | | 2(2x+3)-2x+1=3(x+1) | | -5(8-2x)-10=.5(8x-28) | | 2(k+k)+45=180 | | 10x-12y=6 | | -2(3s-3)-6=-3(8s+2)-4 | | 5z=1+-2 | | 3pq=7r-8t | | 2(2x+3)-2x+1=3(x-1) | | 35b-25= | | x-1-4=-6 | | 9x-5-4=81 | | -4(y+1)=2(4y-2)-36 | | 2x^3-1200x=0 | | 10x+10-20=80 | | 9y-3(y+4)=(4+y) | | .60p=32 | | (45.99*4m)=207.96 | | 4x-8-8=32 | | k=3r-4s | | 8p+16=128 | | 3(x+3)-2x=11x-11 | | 8x+3+5=64 | | x(x-30)= |

Equations solver categories