If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(4x-5)=14x^2-47x+34
We move all terms to the left:
(4x-5)-(14x^2-47x+34)=0
We get rid of parentheses
-14x^2+4x+47x-5-34=0
We add all the numbers together, and all the variables
-14x^2+51x-39=0
a = -14; b = 51; c = -39;
Δ = b2-4ac
Δ = 512-4·(-14)·(-39)
Δ = 417
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(51)-\sqrt{417}}{2*-14}=\frac{-51-\sqrt{417}}{-28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(51)+\sqrt{417}}{2*-14}=\frac{-51+\sqrt{417}}{-28} $
| 36=-y/2 | | 30x+210=360 | | (x-16)+12=40 | | w-23=10 | | x*1.46-x=11600 | | x*1.74-x=4500 | | x*1.55-x=1000 | | x*1.23-x=4000 | | x*1.83-x=3800 | | x*1.57-x=1000 | | x*1.13-x=1000 | | x*1.27-x=9300 | | x*1.68-x=3300 | | x*1.81-x=1000 | | x*1.21-x=1000 | | x*1.43-x=1000 | | x*1.10-x=1000 | | x*1.99-x=1000 | | x/3+x=2*2x/3 | | x*1.39-x=27000 | | x*2.41-x=15000 | | x*1.99-x=7000 | | x*2.29-x=3250 | | x*1.8-x=1000 | | x*1.21-x=2300 | | x*4.95-x=1000 | | x*1.39-x=1000 | | x*2.55-x=3500 | | x*1.77-x=1000 | | x*1.17-x=1000 | | x*1.51-x=1000 | | x*1.41-x=2450 |