(-2/3)m=-12

Simple and best practice solution for (-2/3)m=-12 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 (-2/3)m=-12 equation:



(-2/3)m=-12
We move all terms to the left:
(-2/3)m-(-12)=0
Domain of the equation: 3)m!=0
m!=0/1
m!=0
m∈R
We add all the numbers together, and all the variables
(-2/3)m+12=0
We multiply parentheses
-2m^2+12=0
a = -2; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-2)·12
Δ = 96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{96}=\sqrt{16*6}=\sqrt{16}*\sqrt{6}=4\sqrt{6}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{6}}{2*-2}=\frac{0-4\sqrt{6}}{-4} =-\frac{4\sqrt{6}}{-4} =-\frac{\sqrt{6}}{-1} $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{6}}{2*-2}=\frac{0+4\sqrt{6}}{-4} =\frac{4\sqrt{6}}{-4} =\frac{\sqrt{6}}{-1} $

See similar equations:

| 12=2v-12 | | 3.33=5a | | -5n+2=-3 | | (-3/2)m=12 | | 4q^+3q=0 | | 15-3x=4x-6 | | -15=-0.2r | | 4(y+2)=3(2y-5) | | 8t-15=57 | | -10x=-220 | | 7v-2=33 | | 25=2(x-4)(x+7) | | 15/100=10x/126 | | 34-5x+2(×-3)=29 | | -2x+9=-4x-3 | | 90=28+x | | 3x-2/6-2x+3/3=2/3-x | | 2(2x+3)~7x=23-5(x+3x) | | x4+2x3-5x2+6x-3=0 | | 180=33+x | | -2x-3=36 | | 90=55+b | | X+3/8+x+1/3=3 | | T(n)=6n+-14 | | 4=100-8p | | (8-x)^2=64 | | (2x+12)(8x+4)=0 | | 90=62+x | | 36=3x/2 | | 3(5x+10)=x+6 | | 180=41+x | | 90=29+x |

Equations solver categories