(3w+7)(4-w)=0

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



(3w+7)(4-w)=0
We add all the numbers together, and all the variables
(3w+7)(-1w+4)=0
We multiply parentheses ..
(-3w^2+12w-7w+28)=0
We get rid of parentheses
-3w^2+12w-7w+28=0
We add all the numbers together, and all the variables
-3w^2+5w+28=0
a = -3; b = 5; c = +28;
Δ = b2-4ac
Δ = 52-4·(-3)·28
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-19}{2*-3}=\frac{-24}{-6} =+4 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+19}{2*-3}=\frac{14}{-6} =-2+1/3 $

See similar equations:

| -m+4(m+4)=8m-9 | | 3x+5x=3x+ | | x/2/x=5/10 | | 78=x*6 | | 63=3(1+5x) | | -(7/9)m=11/6 | | 96+5x=180 | | 4.1w=28.7 | | 10x+12=14+18 | | .2(f+3)–2=8+2f | | 12p+12=3p+84 | | -4(s+1)+-2=-14 | | d-3.7=16 | | 58/u=2 | | p=4. | | 5-|c+1|c=-4 | | |4x-5|=35 | | 5x=10=2x=19 | | 14-y=217 | | 9-8a=5-7a | | (2m+1)+(3m-6)=90 | | x+9=13.7 | | q-31=124 | | (c+3/5=5 | | -3(7p+5)=26 | | z=5×9z= | | 68=2x+9 | | 20-7a=-9(a+10-9a | | 4x-20=x² | | 6x+9-7=4x+12 | | -10.6=m+11.70.5 | | 1.6(u-3)-13=3 |

Equations solver categories