m(2m+7)(3m-4)=0

Simple and best practice solution for m(2m+7)(3m-4)=0 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 m(2m+7)(3m-4)=0 equation: 


Simplifying
m(2m + 7)(3m + -4) = 0

Reorder the terms:
m(7 + 2m)(3m + -4) = 0

Reorder the terms:
m(7 + 2m)(-4 + 3m) = 0

Multiply (7 + 2m) * (-4 + 3m)
m(7(-4 + 3m) + 2m * (-4 + 3m)) = 0
m((-4 * 7 + 3m * 7) + 2m * (-4 + 3m)) = 0
m((-28 + 21m) + 2m * (-4 + 3m)) = 0
m(-28 + 21m + (-4 * 2m + 3m * 2m)) = 0
m(-28 + 21m + (-8m + 6m2)) = 0

Combine like terms: 21m + -8m = 13m
m(-28 + 13m + 6m2) = 0
(-28 * m + 13m * m + 6m2 * m) = 0
(-28m + 13m2 + 6m3) = 0

Solving
-28m + 13m2 + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-28 + 13m + 6m2) = 0

Factor a trinomial.
m((-7 + -2m)(4 + -3m)) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-7 + -2m)' equal to zero and attempt to solve:

Simplifying
-7 + -2m = 0

Solving
-7 + -2m = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2m = 0 + 7
-2m = 0 + 7

Combine like terms: 0 + 7 = 7
-2m = 7

Divide each side by '-2'.
m = -3.5

Simplifying
m = -3.5

Subproblem 3
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, -3.5, 1.333333333}

See similar equations:

| -2y+12=-2(2y+2) | | x+x^2=-1 | | x+x^2= | | 13.7+-4.7=9.9+8.1t | | 2(-0.75)=y+3 | | -1=-5/3(1)+b | | X-2+6=8-x | | 4(2x+9)=-43+47 | | 121+x^2=0 | | 8x-3(4-x)=6(x+1)-x | | 3/5y-5=-2 | | 2x=6x+3 | | 525.00+0.21x=520 | | 57=26x | | 525.00+0.21x=550 | | 7-(2x-3)=5-3x | | 525.00+0.21x=630.00 | | 26=57x | | 525.00+0.21x=500 | | 4(t+5)=-36 | | 2y(x+z)=w | | 4(3+w)=3(w-5) | | -4x+4=-28 | | 10x^2-55x-30=0 | | 8(y+6)=7y-9 | | 8*x-5=24 | | 2x-16=90 | | 4x+8/2=22 | | 8*-5=24 | | 2x=x+2+3 | | 50x^2-55x-30=0 | | 4-6x=68 |

Equations solver categories