If it's not what You are looking for type in the equation solver your own equation and let us solve it.
7n(6-9n)=72n-4
We move all terms to the left:
7n(6-9n)-(72n-4)=0
We add all the numbers together, and all the variables
7n(-9n+6)-(72n-4)=0
We multiply parentheses
-63n^2+42n-(72n-4)=0
We get rid of parentheses
-63n^2+42n-72n+4=0
We add all the numbers together, and all the variables
-63n^2-30n+4=0
a = -63; b = -30; c = +4;
Δ = b2-4ac
Δ = -302-4·(-63)·4
Δ = 1908
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1908}=\sqrt{36*53}=\sqrt{36}*\sqrt{53}=6\sqrt{53}$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-6\sqrt{53}}{2*-63}=\frac{30-6\sqrt{53}}{-126} $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+6\sqrt{53}}{2*-63}=\frac{30+6\sqrt{53}}{-126} $
| 3+x*x=52 | | |x-5|=2x | | 4/5y+y=180 | | 8–k=–4 | | 3.1=3.7-0.3x | | -8+1a=2(5-4a) | | w^2+15w=225 | | x²-5x+4/x-4+x²-5x+6/x-3=3 | | -2(q-4)=2(q+1) | | 2x+6/2-x=3 | | 16=t÷3+8 | | 2x+6-x=3 | | 6×-23=(x-5)+(3x+2) | | 65x+50=90+45x | | 3y+7/3=43/3 | | -2c-5=c+4 | | 5x-20=5x−20=3x^2 | | 3x+4(16-4)=8 | | (4/x)=24 | | 2x-6+4x-24=30 | | X+1/4+0.25=x | | 10+x-2x²=0 | | -3x+(1/2x-1)=4 | | 65=w-5 | | Y=1.3x-3.6 | | -36=-7(6+7x)+6(1+6x) | | 3(2a+5)=4(3a-5) | | 0.6(n+10=3.6 | | 3x+3×5x-4=71 | | x-7=143x | | 4(3x+1)-(12x-3x)+32=-5x+(10x-10) | | 2t+7=3t+3= |