If it's not what You are looking for type in the equation solver your own equation and let us solve it.
-7/2x+1/4=1/3x-2
We move all terms to the left:
-7/2x+1/4-(1/3x-2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 3x-2)!=0We get rid of parentheses
x∈R
-7/2x-1/3x+2+1/4=0
We calculate fractions
18x^2/96x^2+(-336x)/96x^2+(-32x)/96x^2+2=0
We multiply all the terms by the denominator
18x^2+(-336x)+(-32x)+2*96x^2=0
Wy multiply elements
18x^2+192x^2+(-336x)+(-32x)=0
We get rid of parentheses
18x^2+192x^2-336x-32x=0
We add all the numbers together, and all the variables
210x^2-368x=0
a = 210; b = -368; c = 0;
Δ = b2-4ac
Δ = -3682-4·210·0
Δ = 135424
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{135424}=368$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-368)-368}{2*210}=\frac{0}{420} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-368)+368}{2*210}=\frac{736}{420} =1+79/105 $
| 3x-6+x=8 | | .x+4=40 | | a=4(14-1)/18-5 | | x/4(2x-3)=6x+2 | | 13x-17=3(3x-4)+4x-5 | | P-10=-0.8q | | 900/12=12x/12 | | 5x-1=10-3x | | 30-2(w+1)=10w-2(10+w) | | 52x+16=7(7x+3)+3x-5 | | (2*5)+c/3=c | | m+21=8 | | m^2=√64 | | 3/7(8)=x | | -57=-6x-9 | | x(x+15)=350 | | 5.2x+28.18=9.82 | | | | 52x-48=7(7x-6)+3x-6 | | 0.08x5=0.4 | | 0.08x5=0, | | 2=10-0.5x | | (3x+25=4x-5) | | 1/4(x+16)-4=3x-11 | | 19a=0.038 | | 1/3*24=n | | (8x+1=4x+11) | | |w-9|=2 | | -108=18y | | (75-x=x+5) | | 6x+3=-7+4x+22 | | y-17.54=8.49 |