If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6x^2-27=15x
We move all terms to the left:
6x^2-27-(15x)=0
a = 6; b = -15; c = -27;
Δ = b2-4ac
Δ = -152-4·6·(-27)
Δ = 873
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{873}=\sqrt{9*97}=\sqrt{9}*\sqrt{97}=3\sqrt{97}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-3\sqrt{97}}{2*6}=\frac{15-3\sqrt{97}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+3\sqrt{97}}{2*6}=\frac{15+3\sqrt{97}}{12} $
| 2x/3+x/4=11/12 | | 3(5u+6)=13u+10 | | 5(w-5)=3w-11 | | 30x=102x | | F(6)=3(x)^2+4x+5 | | 8x+8=6x^2 | | 6n-1=-5 | | 2(x+2)^2-5=93 | | -8x+2(x-8)=-34 | | x=2=2(x-20) | | 3x+4(x+1)=53 | | a=2*(a-20)= | | x/5-0.5=0.8 | | 8^b^-1=2^4^b^+^4 | | 10-1/6r=18 | | 1/3(9x+12)=-2x+-1 | | 3x-15÷2=4× | | R=(2000+500n)(50-5n) | | 12=3-4n | | 3222-7=x | | 5(2/7)+k=2(27/70) | | 12=x+1.25x | | -83x+416=0 | | 0.450.15=y−0.45 | | 9/11=n+9/7 | | 1261/4y=127 | | 126.25y=127 | | 5c+2(10−c)=0 | | 5c+2(10−c)=c | | 9^x+4=81^x-3 | | 4x+1=-31x= | | 8^2+x=16^2.5-0.5x |