If it's not what You are looking for type in the equation solver your own equation and let us solve it.
-6/5x+25=9/2x-89
We move all terms to the left:
-6/5x+25-(9/2x-89)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 2x-89)!=0We get rid of parentheses
x∈R
-6/5x-9/2x+89+25=0
We calculate fractions
(-12x)/10x^2+(-45x)/10x^2+89+25=0
We add all the numbers together, and all the variables
(-12x)/10x^2+(-45x)/10x^2+114=0
We multiply all the terms by the denominator
(-12x)+(-45x)+114*10x^2=0
Wy multiply elements
1140x^2+(-12x)+(-45x)=0
We get rid of parentheses
1140x^2-12x-45x=0
We add all the numbers together, and all the variables
1140x^2-57x=0
a = 1140; b = -57; c = 0;
Δ = b2-4ac
Δ = -572-4·1140·0
Δ = 3249
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{3249}=57$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-57}{2*1140}=\frac{0}{2280} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+57}{2*1140}=\frac{114}{2280} =1/20 $
| 7y+4/3y+2=-2/8 | | 3n²-53n-232=0 | | X^2—12x+36=0 | | 8x^2-49x+56=0 | | 8x^2+49x+150=0 | | 3y+7/4=27/4-y | | X+4=2x;x=4 | | 6(x+6)=2(x-5) | | 25x^2+35x-30=0 | | 4x-52=-8 | | (x+4)(x-2)=4x | | -14x=-16 | | 0.100xY=250 | | x^2=-7x-3/2 | | (2x+10)+(3x+10)+(4x+10)=120 | | D=15+8d/11 | | 12d-85=0 | | P=16+8d/11 | | 4+7x-x^2=-x/2 | | (7/3)=(x/13) | | (A-2)x2=360 | | x=(7/3)*(13/1) | | (A-2)x2=40 | | x/13=(7/3) | | x+0.08x=33000 | | 5x/6-12=7 | | 32=2(x-2)-6x | | 24=18+g | | 3x*7=7x | | -6/5u=-24 | | m2-13=36 | | 8y2=0 |