-8x(x-1)-x-11=-9(x+4)+17

Simple and best practice solution for -8x(x-1)-x-11=-9(x+4)+17 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(x-1)-x-11=-9(x+4)+17 equation:



-8x(x-1)-x-11=-9(x+4)+17
We move all terms to the left:
-8x(x-1)-x-11-(-9(x+4)+17)=0
We add all the numbers together, and all the variables
-1x-8x(x-1)-(-9(x+4)+17)-11=0
We multiply parentheses
-8x^2-1x+8x-(-9(x+4)+17)-11=0
We calculate terms in parentheses: -(-9(x+4)+17), so:
-9(x+4)+17
We multiply parentheses
-9x-36+17
We add all the numbers together, and all the variables
-9x-19
Back to the equation:
-(-9x-19)
We add all the numbers together, and all the variables
-8x^2+7x-(-9x-19)-11=0
We get rid of parentheses
-8x^2+7x+9x+19-11=0
We add all the numbers together, and all the variables
-8x^2+16x+8=0
a = -8; b = 16; c = +8;
Δ = b2-4ac
Δ = 162-4·(-8)·8
Δ = 512
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:
$\sqrt{\Delta}=\sqrt{512}=\sqrt{256*2}=\sqrt{256}*\sqrt{2}=16\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16\sqrt{2}}{2*-8}=\frac{-16-16\sqrt{2}}{-16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16\sqrt{2}}{2*-8}=\frac{-16+16\sqrt{2}}{-16} $

See similar equations:

| x-10/2030=-4 | | 5x-40=3x-60 | | 5=-1/5(2x-4)-2x | | 71=7x+15 | | x2-10/9x+25/81=4/81 | | |8x|=9-x^2 | | -11=1/290-7a | | 2000=150+250(x+3.50) | | 12x=105 | | 10-3y=-15 | | 8(a+2)=+2(2+3a) | | a/7=-1 | | 2/5y+5=7 | | 5-3y=-15 | | -3w/8=-9 | | 5h-3h+8=10 | | 4/k3=8/14 | | y-26=-84/7 | | 1/2n-19=126 | | .85x=146.54 | | 8.1a+10=82.9 | | 0-3y=-15 | | 0.4=2.4x | | 3.5(2h+4.5=57.75 | | 3x-6-3x=6x-6 | | -18=(x-1)*3 | | 5/8x+2=9/5 | | a=4a+18 | | s-5.09=25.86 | | 5/8x+2=9/4 | | 6s+2s+56=5 | | 1/9h—3=2 |

Equations solver categories