1/10c+1/4c=21

Simple and best practice solution for 1/10c+1/4c=21 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 1/10c+1/4c=21 equation:



1/10c+1/4c=21
We move all terms to the left:
1/10c+1/4c-(21)=0
Domain of the equation: 10c!=0
c!=0/10
c!=0
c∈R
Domain of the equation: 4c!=0
c!=0/4
c!=0
c∈R
We calculate fractions
4c/40c^2+10c/40c^2-21=0
We multiply all the terms by the denominator
4c+10c-21*40c^2=0
We add all the numbers together, and all the variables
14c-21*40c^2=0
Wy multiply elements
-840c^2+14c=0
a = -840; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·(-840)·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*-840}=\frac{-28}{-1680} =1/60 $
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*-840}=\frac{0}{-1680} =0 $

See similar equations:

| 45w+8w-44w-w-3w=15 | | 4.5(x)x=2934 | | -9+10b=6b+3 | | 57=-5r+2r | | -19=n-43 | | 150x-75x+48,250=50,500-175x | | 1.5x+1.3x=−8.4 | | 24=r-(-19) | | 2/5x-4=-17 | | 5(2+x)-x=10+4(x+4) | | 10x-26+7x+10=188 | | 3x-2x+4=5x-4x-8 | | 7(x-4)=2(2x-14)+3x | | 33j-12j-4j-7j=10 | | 3/12=2/y+6= | | (2x^2+x-4)/x(x-1)=2x/(x-1)+3/(1-x) | | 6u=u=30 | | (x+5)/3=2 | | 1+4p=4p-8 | | 9=-11+x | | y=-30+34 | | (x+7)²=81 | | 3w+2w-(-7w)=24 | | -2(3x+6)=4(x+7 | | (-3x+10)=(5x+-8) | | 49x-22x+8x-28x+5x=24 | | 7z=22.75 | | 2.6=u−12 | | 57=5r-7× | | 3.2g=0.8 | | -2.5x-10=-2.5x | | 62+y=33-y |

Equations solver categories