(8x+11)(12x-1)=70

Simple and best practice solution for (8x+11)(12x-1)=70 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (8x+11)(12x-1)=70 equation:



(8x+11)(12x-1)=70
We move all terms to the left:
(8x+11)(12x-1)-(70)=0
We multiply parentheses ..
(+96x^2-8x+132x-11)-70=0
We get rid of parentheses
96x^2-8x+132x-11-70=0
We add all the numbers together, and all the variables
96x^2+124x-81=0
a = 96; b = 124; c = -81;
Δ = b2-4ac
Δ = 1242-4·96·(-81)
Δ = 46480
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:
$\sqrt{\Delta}=\sqrt{46480}=\sqrt{16*2905}=\sqrt{16}*\sqrt{2905}=4\sqrt{2905}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(124)-4\sqrt{2905}}{2*96}=\frac{-124-4\sqrt{2905}}{192} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(124)+4\sqrt{2905}}{2*96}=\frac{-124+4\sqrt{2905}}{192} $

See similar equations:

| c+3=5.86 | | −4−4(−2d−4)=d+4−9 | | 5+|x-1|=5 | | 14=5x+2−2x | | 5(2x+1)=9x+20 | | 6+2+x=16 | | 33+x=-17 | | 0.01x^2=5x+49=0 | | 10-5x+4x=5 | | 4x/3-7=-12 | | 7.07=s+6 | | 5x+20=74 | | 9=f/2-7 | | (2n-9)5=2n⋅5-9⋅5 | | 5k-3(2k-⅔)-9=0 | | 9=f/2—7 | | 64x+11=123 | | 8-x-3x=12 | | 2x-8=10* | | 3*r/4=15 | | 1+4x=2(4–2x) | | x+1.08=15.3. | | y5=110 | | 16=4(m-15) | | (x-3)/7=8 | | 3x-30=5x+18 | | m+4.8=9.2. | | 100=20k | | -1.1x+8.1x+38=-32 | | 5(x–1)=5x–4 | | −2(2r+7)+8=3 | | 2m7+3m14=1 |

Equations solver categories