If it's not what You are looking for type in the equation solver your own equation and let us solve it.
4x^2-5x=8
We move all terms to the left:
4x^2-5x-(8)=0
a = 4; b = -5; c = -8;
Δ = b2-4ac
Δ = -52-4·4·(-8)
Δ = 153
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{153}=\sqrt{9*17}=\sqrt{9}*\sqrt{17}=3\sqrt{17}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-3\sqrt{17}}{2*4}=\frac{5-3\sqrt{17}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+3\sqrt{17}}{2*4}=\frac{5+3\sqrt{17}}{8} $
| 5k+7=3 | | -6-4.8x=-5x-4.8 | | 7x/2+5=6x | | 4x^+6=14 | | .10(x+3)=0.25x | | x/1,41x=0 | | 3^2(x+1)-10*3^x+1=0 | | -11/n=10/20 | | 4x+x-4=20 | | 5g+2g=9+15 | | 3^2(x+1)-10.3^x+1=0 | | 1.5(d+3.5)=24 | | 0.2x*x*x-0.2x*x-x+1=0 | | X^2-16x+126=63 | | 1/3y+2/5=1/5+8/5y | | 2(w-9)+8.1=8.7w+1.2 | | 5a-2=48 | | 2x3-3x2-8=0 | | 2^2x+1*3^2x+2+2^x*3^x+2-2=0 | | 0.192=0.0012x-0.0229 | | 0=2x3-3x2-8 | | 2^2x+1*3^2x+2+2x*3^x+2-2=0 | | 2(7x+8)=26 | | 7r+3=-18 | | −5(p+3/5)=−4 | | x/5+15=30 | | 3.2x-4=6 | | 5/9=15/n | | 5x-12+30-2x=3 | | 0.5x+24=-6 | | -3/4(x+1/2)=-3/4x+3/8 | | -3/4(x+0.50)=-3/4x+3/8 |