X(4-x)=(1-x)(1-x)

Simple and best practice solution for X(4-x)=(1-x)(1-x) 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(4-x)=(1-x)(1-x) equation:



X(4-X)=(1-X)(1-X)
We move all terms to the left:
X(4-X)-((1-X)(1-X))=0
We add all the numbers together, and all the variables
X(-1X+4)-((-1X+1)(-1X+1))=0
We multiply parentheses
-1X^2+4X-((-1X+1)(-1X+1))=0
We multiply parentheses ..
-1X^2-((+X^2-1X-1X+1))+4X=0
We calculate terms in parentheses: -((+X^2-1X-1X+1)), so:
(+X^2-1X-1X+1)
We get rid of parentheses
X^2-1X-1X+1
We add all the numbers together, and all the variables
X^2-2X+1
Back to the equation:
-(X^2-2X+1)
We add all the numbers together, and all the variables
-1X^2+4X-(X^2-2X+1)=0
We get rid of parentheses
-1X^2-X^2+4X+2X-1=0
We add all the numbers together, and all the variables
-2X^2+6X-1=0
a = -2; b = 6; c = -1;
Δ = b2-4ac
Δ = 62-4·(-2)·(-1)
Δ = 28
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:
$\sqrt{\Delta}=\sqrt{28}=\sqrt{4*7}=\sqrt{4}*\sqrt{7}=2\sqrt{7}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{7}}{2*-2}=\frac{-6-2\sqrt{7}}{-4} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{7}}{2*-2}=\frac{-6+2\sqrt{7}}{-4} $

See similar equations:

| 2=​3/n | | (2x-8)=(2x+13) | | -11f=7-14f+15 | | 5n^2=28+13n | | 3y+2=y-10 | | 6y-5=187 | | -5x–68=-2x-44 | | 2=​3​​n | | 9w+9/8=(w-4/4)+3 | | 2/3+4x+3x=19.4 | | (7t-2)-(3-t+1)=3(1-3t) | | 3x+1/4x=4 | | y+2=y-10 | | 7m+4=18 | | (4w-7)(3-w)=0 | | ¾​​(z​​+​​4)​​=​​9 | | 5n-3=2n+15 | | x+3=-33 | | 12=2/x÷2 | | 4x=3(3x+12)=140 | | 3x+2)4x-4)=3 | | 5n-3=2n+5 | | x/(-)4=15 | | 5x^2-8=-3x | | 4/3x-7=5 | | -7(2+5x)=91 | | 5(9+3x)=120 | | 5^x+4^x=8 | | 2h+1=h-6 | | -4(1x+4)=-24 | | 3x+5(x-9)=3 | | d-59=57 |

Equations solver categories