(3m-2)(5m+3)=

Simple and best practice solution for (3m-2)(5m+3)= 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 (3m-2)(5m+3)= equation:


Simplifying
(3m + -2)(5m + 3) = 0

Reorder the terms:
(-2 + 3m)(5m + 3) = 0

Reorder the terms:
(-2 + 3m)(3 + 5m) = 0

Multiply (-2 + 3m) * (3 + 5m)
(-2(3 + 5m) + 3m * (3 + 5m)) = 0
((3 * -2 + 5m * -2) + 3m * (3 + 5m)) = 0
((-6 + -10m) + 3m * (3 + 5m)) = 0
(-6 + -10m + (3 * 3m + 5m * 3m)) = 0
(-6 + -10m + (9m + 15m2)) = 0

Combine like terms: -10m + 9m = -1m
(-6 + -1m + 15m2) = 0

Solving
-6 + -1m + 15m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -5m)(2 + -3m) = 0

Subproblem 1

Set the factor '(-3 + -5m)' equal to zero and attempt to solve: Simplifying -3 + -5m = 0 Solving -3 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5m = 0 + 3 -5m = 0 + 3 Combine like terms: 0 + 3 = 3 -5m = 3 Divide each side by '-5'. m = -0.6 Simplifying m = -0.6

Subproblem 2

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

Solution

m = {-0.6, 0.6666666667}

See similar equations:

| g^2+3g=154 | | x^2+14x=282 | | 2m-n+7m-3n= | | 23=5(u+7)-7u | | 4/5v-1=-4/3v-4/5 | | -6x+4(x-2)=-20 | | 3x*x=x+8 | | x^2+10x=228 | | 35p^3-25p+15p^2= | | 4(y-2)=7y+3-3(-3y-1) | | n-1.7=-5.2 | | 4y-3+3(4y+3)=-2(y+5) | | g^2+3g=108 | | 3X+7=3X+2 | | 8y^3+4y^2-2y= | | 3(x+2)=-3(5x-1)+3x | | x^2=4x-5 | | 2(u+7)=-2(7u-3)+6u | | 2x+1=6x-5-x | | 2jk^2-3j^2k+5j^3k^3= | | -4(5x-3)=-208 | | -2(-7x+8)-3x=5(x-1)-8 | | -3(-8x+1)-9x=5(x-2)-7 | | 75k^3+15k^2= | | -4(u-8)=-7u+44 | | 16m^2n-64mn^2= | | 8(u-6)=2u-24 | | 9v+29=-8(v+7) | | -5+6x=7x-3 | | -4u-6=-6(u+2) | | 3+1/x=2 | | 7(y-9)=2y-48 |

Equations solver categories