If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6x(5x-3)=13+6x
We move all terms to the left:
6x(5x-3)-(13+6x)=0
We add all the numbers together, and all the variables
6x(5x-3)-(6x+13)=0
We multiply parentheses
30x^2-18x-(6x+13)=0
We get rid of parentheses
30x^2-18x-6x-13=0
We add all the numbers together, and all the variables
30x^2-24x-13=0
a = 30; b = -24; c = -13;
Δ = b2-4ac
Δ = -242-4·30·(-13)
Δ = 2136
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2136}=\sqrt{4*534}=\sqrt{4}*\sqrt{534}=2\sqrt{534}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-2\sqrt{534}}{2*30}=\frac{24-2\sqrt{534}}{60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+2\sqrt{534}}{2*30}=\frac{24+2\sqrt{534}}{60} $
| 3(6x-5=3(6x-5)+x | | 7x+16=3x+120 | | 13x+24=12(x+2)+x | | (167+19)x=1132 | | 2/7+x=6/7+3/7 | | 21(2-x)+12x=42 | | 31+12n=112 | | X-7x-49x+343=0 | | -19=3(y-8)-8y | | 9x2+39x+42=0 | | (3x-3)^2=14 | | 1/3y+1/2=1 | | -5(y-3)=-25 | | -4y+2(y+4)=12 | | 3/4x+1/8=13/8 | | X-11=b3 | | -5y-16+8y=-10 | | (8x+3)(x+1)=13 | | x/13=60 | | 3•a=18 | | 8x+3)(x+1)=13 | | .75x-4=-7+.33x | | X-7x-49+343=0 | | .75x-4=-7+.33 | | 10x+2=5x-18 | | 9=-3(2+3v)+3(3v+5) | | P(x)=x²+8x-240 | | 27+7y=39 | | 6x2+28x−2=2x−10 | | 4a+4=a+16 | | 2r/7-r=10 | | -3x14=18-5x |