If it's not what You are looking for type in the equation solver your own equation and let us solve it.
(2x+9)(6x+12)=16x^2+78x+44
We move all terms to the left:
(2x+9)(6x+12)-(16x^2+78x+44)=0
We get rid of parentheses
-16x^2+(2x+9)(6x+12)-78x-44=0
We multiply parentheses ..
-16x^2+(+12x^2+24x+54x+108)-78x-44=0
We get rid of parentheses
-16x^2+12x^2+24x+54x-78x+108-44=0
We add all the numbers together, and all the variables
-4x^2+64=0
a = -4; b = 0; c = +64;
Δ = b2-4ac
Δ = 02-4·(-4)·64
Δ = 1024
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1024}=32$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32}{2*-4}=\frac{-32}{-8} =+4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32}{2*-4}=\frac{32}{-8} =-4 $
| -4(5y-8)-y=-3(y-3) | | 2d^2-9d+10=0 | | c/7=28/50 | | 150=5w+10 | | 1a-21=47 | | 5x^2-15x-10=0 | | d/7=14/25 | | 3/5p(1+5/3=31/2 | | c−1.5+6.8=0.6= | | 1x+36=132 | | r—3=14 | | 19=4x^2 | | 9=k/2+12 | | 4/10=x/10 | | 2+g=7 | | -4(r+3)+8(-2r+8)=12 | | 200=4c-20 | | 24=-12r | | -5+k=k-4 | | 6(2x—3)=18 | | m+13=-20 | | -4y+15=-1 | | 2u^2-11u-20=0 | | 7r-8r=-3r+8 | | -3.6(7.1x+1.7)=126.792 | | -36=6(w-3)-8w | | 50=t*5 | | m+10=-20 | | 2(1/4)x=1(1/4)x-8 | | 2x+15+6x=1 | | 4t+7=4(t+4)−16 | | -88=-8+8(m-4) |