If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6x+5(4x^2)=19-3x
We move all terms to the left:
6x+5(4x^2)-(19-3x)=0
determiningTheFunctionDomain 54x^2+6x-(19-3x)=0
We add all the numbers together, and all the variables
54x^2+6x-(-3x+19)=0
We get rid of parentheses
54x^2+6x+3x-19=0
We add all the numbers together, and all the variables
54x^2+9x-19=0
a = 54; b = 9; c = -19;
Δ = b2-4ac
Δ = 92-4·54·(-19)
Δ = 4185
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4185}=\sqrt{9*465}=\sqrt{9}*\sqrt{465}=3\sqrt{465}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-3\sqrt{465}}{2*54}=\frac{-9-3\sqrt{465}}{108} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+3\sqrt{465}}{2*54}=\frac{-9+3\sqrt{465}}{108} $
| 12x+9=-2(x+3)+8 | | 13y=—156 | | 7=s-79/3 | | 6a-4=-40 | | 45=5z+5 | | 18.4=2c | | x/4+(-3)=5 | | b+54=10b+36 | | 9+5=3x+4x | | -18+3/4x=1/4x-4 | | 2(x-6)+4=-11 | | -6+3x+2=60 | | -6=(u+1)/(-6) | | 4t-43=t-7 | | n+3.8=17.7 | | |-3x+8|=105 | | 25+(4x+2)+(2x-9)=360 | | 3(2x-9)=3(2x−9)=21 | | 2(x-6)+4=-14 | | 4x+5x=215 | | -8+2v=v-2 | | 5w=3w+44 | | 1/8x-4=3/4x+1/2 | | -25x-6=-7(4x+5 | | 3t-8-5t=12 | | v/4=3.8 | | 10x+20=50=161 | | 0.8−2x=1−3x | | 9n-10n=12 | | 3x+1=4x- | | 6x-57=13x+132 | | 6x+9-4x=23 |