If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(F)=6F+5/2F-20
We move all terms to the left:
(F)-(6F+5/2F-20)=0
Domain of the equation: 2F-20)!=0We get rid of parentheses
F∈R
F-6F-5/2F+20=0
We multiply all the terms by the denominator
F*2F-6F*2F+20*2F-5=0
Wy multiply elements
2F^2-12F^2+40F-5=0
We add all the numbers together, and all the variables
-10F^2+40F-5=0
a = -10; b = 40; c = -5;
Δ = b2-4ac
Δ = 402-4·(-10)·(-5)
Δ = 1400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1400}=\sqrt{100*14}=\sqrt{100}*\sqrt{14}=10\sqrt{14}$$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-10\sqrt{14}}{2*-10}=\frac{-40-10\sqrt{14}}{-20} $$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+10\sqrt{14}}{2*-10}=\frac{-40+10\sqrt{14}}{-20} $
| 16^2x-3=4^x+1 | | 3w–7=14 | | 62=13x | | 3x+12=10-12 | | 14-2x=20+1.5x | | 7(6x+7)+7=42x+56 | | 11-2(1.08)^4t=7 | | 5y+3y+7y=0 | | 30x+5=32-1 | | x(6+x)-2(x+1)-5x=4; | | 2x/13=0.9 | | 10n-15=4n+27 | | 8a+2=a+44 | | 4.4(x-3)+1=33 | | z+3(z-4)=5; | | 10x−5−2(2x)=1.75 | | 2(-5.9+t)=14.2 | | -11.6+2t=14.2 | | H=-16t^2+127t+50 | | -15x^2+37=0 | | –1+7v=–9+6v | | 3(4x+8)=93x | | x-29=56 | | b^{2}=0.25 | | 4b+7=−1;2 | | 38=6z+2z | | x^2(x+4)=46656 | | y+30+65=180 | | (5x–8)(x+4)=0 | | x+15+10;x=5 | | -4(f+3)+5=-43 | | (9v-4)/3=(9v+4)/4+10 |