If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3x^2-9x+16=178
We move all terms to the left:
3x^2-9x+16-(178)=0
We add all the numbers together, and all the variables
3x^2-9x-162=0
a = 3; b = -9; c = -162;
Δ = b2-4ac
Δ = -92-4·3·(-162)
Δ = 2025
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{2025}=45$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-45}{2*3}=\frac{-36}{6} =-6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+45}{2*3}=\frac{54}{6} =9 $
| 9x-75=-3 | | 21=10+m | | -2(y–1)=4y–(y+2) | | 5/x=-4/8 | | -9x6=21 | | 4^(x+7)=48 | | 115=8b-5+2b | | 21=a+5 | | t-13=-12 | | 94+b=154 | | 3x+26=48 | | 2*x+2*(2x)=100 | | -f=19 | | ¼(½x-16)=½x+3-x-783 | | n=-13+-6 | | 4x+6+52=90 | | 9(8)=12x(6x) | | (2x-4)/6=8* | | H=80-16t | | (x−5)(x+8)=0 | | g-6=27 | | 10r-1=-9+8r | | -56=4(8–2x) | | -n+10+2n=3n-10 | | -49f=−3 | | -2-9d=-8d | | x-12.5=6.25 | | 15x+3=84 | | 4)5n+4=37-n | | -6q+6=-8q-8 | | 168=8n | | f–6=-2f+3(f–2) |