If it's not what You are looking for type in the equation solver your own equation and let us solve it.
15x+42=1/3x
We move all terms to the left:
15x+42-(1/3x)=0
Domain of the equation: 3x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
15x-(+1/3x)+42=0
We get rid of parentheses
15x-1/3x+42=0
We multiply all the terms by the denominator
15x*3x+42*3x-1=0
Wy multiply elements
45x^2+126x-1=0
a = 45; b = 126; c = -1;
Δ = b2-4ac
Δ = 1262-4·45·(-1)
Δ = 16056
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{16056}=\sqrt{36*446}=\sqrt{36}*\sqrt{446}=6\sqrt{446}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(126)-6\sqrt{446}}{2*45}=\frac{-126-6\sqrt{446}}{90} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(126)+6\sqrt{446}}{2*45}=\frac{-126+6\sqrt{446}}{90} $
| 3(y+7)=-12 | | 1.6x+4.2=1.2+x | | Y=13x+80 | | 1264+6x=13.02-8x | | Y=-235x+2910 | | Y=20x+175 | | V-5/4=11/4-v | | 3(5x+12)=15x+7 | | 45=-2z-23 | | 1.6x+4.2=1.2x | | 7w=87;w=-16 | | u^2+2=82 | | Y=75x+175 | | 180=(3x+20)+(20) | | 1.6x+4.2=1.6x=4.2=1.2 | | 180=(3x+20)+(20( | | 63+j=74;j=12 | | 5n+27=6n+2(3n+3) | | 2=8+5x | | (3x+20)(2)=180 | | -2)6y)=144 | | 11+7a=4(2a-6)+6a | | 10p−9p=17 | | X^2+2x-15=-3x+4 | | x²-x-44=12 | | 2n+23=6(n+1)+1 | | -81=2x+7x | | (3x+15)+(12x+90)=180 | | 4x^2+5x-1=15 | | 3x-5+3x=-4 | | 72=-21x | | 3x=148 |