If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/2x+3=5/4x-7
We move all terms to the left:
1/2x+3-(5/4x-7)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 4x-7)!=0We get rid of parentheses
x∈R
1/2x-5/4x+7+3=0
We calculate fractions
4x/8x^2+(-10x)/8x^2+7+3=0
We add all the numbers together, and all the variables
4x/8x^2+(-10x)/8x^2+10=0
We multiply all the terms by the denominator
4x+(-10x)+10*8x^2=0
Wy multiply elements
80x^2+4x+(-10x)=0
We get rid of parentheses
80x^2+4x-10x=0
We add all the numbers together, and all the variables
80x^2-6x=0
a = 80; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·80·0
Δ = 36
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{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*80}=\frac{0}{160} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*80}=\frac{12}{160} =3/40 $
| y=3(9)-17 | | 8x2–12=60 | | 34-5y=-2(-7y+1) | | 10m-7m+5=8 | | 2(4x-5)=3x+7 | | 6x/7+5=2 | | 4/3+5.50+x=26.50 | | -5m+22=-4(m-5) | | 5b=6b+9 | | 19-5v=-4(v-3) | | -p-3/2=7 | | k/3.8+99.6=27.7 | | 3x+54+x+30=180 | | –9=6−3q | | 16t-13t+5t+t=9 | | -7j+4=4-7j | | 4.)-20+7x=-6 | | |x+1|+6=35 | | x+3-2x+19=3x | | 184=68-y | | -4(4+2v)=2-5(1-v) | | 6w+8=4w-4 | | 2(x-4)+3=-(4x-3)-6 | | –7j+4=4−7j | | -3d-1=-2d-6-2d | | 3x–8=1 | | -5c-1=-5c+3 | | 13.50x1.5=40 | | 7n−8=62 | | -16=8(z+7) | | (x+5)(x-15)=90 | | (y-4/2)=10 |