x(x-6)+6=5x-6

Simple and best practice solution for x(x-6)+6=5x-6 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 x(x-6)+6=5x-6 equation:



x(x-6)+6=5x-6
We move all terms to the left:
x(x-6)+6-(5x-6)=0
We multiply parentheses
x^2-6x-(5x-6)+6=0
We get rid of parentheses
x^2-6x-5x+6+6=0
We add all the numbers together, and all the variables
x^2-11x+12=0
a = 1; b = -11; c = +12;
Δ = b2-4ac
Δ = -112-4·1·12
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{73}}{2*1}=\frac{11-\sqrt{73}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{73}}{2*1}=\frac{11+\sqrt{73}}{2} $

See similar equations:

| 5x(x+2)-4(x-1)=6 | | 6-2x=5x=9x+4 | | -4x+30=2(x-1)+32 | | 3.4+0.5y=-4.5-0.5y | | x^2=36/18 | | x(4x-19)^1/3=x-1 | | 18(4+x)=80 | | 2^-262144=x | | 2x+26=62 | | 3x+8(x+7)=2(5x4)+13 | | 8r+17r=150 | | 2(4s-16)-55=5- | | 4(x-3)-2x=6 | | 14=3v-v | | 8^6=2^x | | 5+14a=0a-5 | | -19=7z-2z | | 50+2x=94 | | 7b+3-4b=3b+4 | | 50+2x=86 | | (3(p+8))1=(-6(p+6))-3 | | 87.3=9(m+3.1) | | 0=-16t^2+112t+1 | | 3=5b/5 | | p−|4|×|−5|=−15 | | p−|4|×|−5|=−15. | | 96t-16t^2+112=100 | | 4+|k+6|=16 | | 8=-7x+9x | | 2(t-96)=-62 | | 5k-(-21)=76 | | 3x-15=117 |

Equations solver categories