If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1-7k-6=3/7k+4
We move all terms to the left:
1-7k-6-(3/7k+4)=0
Domain of the equation: 7k+4)!=0We add all the numbers together, and all the variables
k∈R
-7k-(3/7k+4)-5=0
We get rid of parentheses
-7k-3/7k-4-5=0
We multiply all the terms by the denominator
-7k*7k-4*7k-5*7k-3=0
Wy multiply elements
-49k^2-28k-35k-3=0
We add all the numbers together, and all the variables
-49k^2-63k-3=0
a = -49; b = -63; c = -3;
Δ = b2-4ac
Δ = -632-4·(-49)·(-3)
Δ = 3381
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3381}=\sqrt{49*69}=\sqrt{49}*\sqrt{69}=7\sqrt{69}$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-7\sqrt{69}}{2*-49}=\frac{63-7\sqrt{69}}{-98} $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+7\sqrt{69}}{2*-49}=\frac{63+7\sqrt{69}}{-98} $
| 7x+25.3+4x+7=82 | | 8b-3=4(b+7) | | 4v-4=5v-5 | | x=3/4x-8 | | 30.5+8f=-8.5(2f+6.5) | | -18+5x+x+15=27 | | 5(x-4)=47 | | -2|2w+3|=-14 | | −55m-5+2=−73 | | 8x=0.666 | | −5x+2=38 | | 9r-9.5+5=-25.5 | | 54=2x-4(3x+14) | | 7x-34=-15x+22 | | 4/x-7=19 | | i^2+5i=0 | | 6x+8x+1/4=38+3/4 | | -30.5=-9.5+3(n+8.5) | | -1/2(x-7)=1- | | 7x+8x=519 | | 2x+15=5x-7 | | 2x(x+8)=-10 | | 3x-5=12x+31 | | 6(1/6w+3)=6*1/3(w+3) | | 45-k=-13 | | 3x-4x-7=9 | | x+36=144 | | -4(7a+9.5)=27.5-3a | | F(x)=3x/2 | | 30-2x+2.5x=34 | | (5x1.5)x+8x=519 | | p-5/6=-41/42 |