If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/2x+3x=12
We move all terms to the left:
1/2x+3x-(12)=0
Domain of the equation: 2x!=0We add all the numbers together, and all the variables
x!=0/2
x!=0
x∈R
3x+1/2x-12=0
We multiply all the terms by the denominator
3x*2x-12*2x+1=0
Wy multiply elements
6x^2-24x+1=0
a = 6; b = -24; c = +1;
Δ = b2-4ac
Δ = -242-4·6·1
Δ = 552
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{552}=\sqrt{4*138}=\sqrt{4}*\sqrt{138}=2\sqrt{138}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-2\sqrt{138}}{2*6}=\frac{24-2\sqrt{138}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+2\sqrt{138}}{2*6}=\frac{24+2\sqrt{138}}{12} $
| 0=-0.01x(x-200) | | 5z-9÷4=3z+1.5÷3 | | 20-3*a=8 | | x+42=16 | | 5+(3/4)x=7/12 | | 5-½x=12 | | $$x+42=16 | | 5+(3/4x)=7/12 | | 6x+8=80–2x. | | -40=-24+x | | 5x−9=76 | | -7w+5(w-2)=4 | | x−20.7=9 | | x+40=32 | | 15+9/10b=96 | | 8−8u=–10u | | 4(x+2.5)=15 | | 000=200(1.05^x) | | 4(2+8)-3x=47 | | 4(x+2.5)=16 | | 2^5x+3=512 | | e+61/5=17 | | 4/b=7 | | 2q+405=909 | | x-5+4x+5=90 | | 0.25=9x | | (X2-7x+11)^(x2-7x+6)=1 | | F(x)=-2x^2=10x | | Y=(2x+1) | | -7x+13=-7x+8 | | x-35.2=16 | | 6x+17=4x-5 |