Question
Factor the expression
Factor
−(4−x)(2−x)
Evaluate
6x−8−x2
Reorder the terms
−8+6x−x2
Rewrite the expression
−8+(4+2)x−x2
Calculate
−8+4x+2x−x2
Rewrite the expression
−4×2+4x+x×2−x×x
Factor out −4 from the expression
−4(2−x)+x×2−x×x
Factor out x from the expression
−4(2−x)+x(2−x)
Factor out 2−x from the expression
(−4+x)(2−x)
Solution
−(4−x)(2−x)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=2,x2=4
Evaluate
6x−8−x2
To find the roots of the expression,set the expression equal to 0
6x−8−x2=0
Factor the expression
More Steps
Evaluate
6x−8−x2
Reorder the terms
−8+6x−x2
Rewrite the expression
−8+(4+2)x−x2
Calculate
−8+4x+2x−x2
Rewrite the expression
−4×2+4x+x×2−x×x
Factor out −4 from the expression
−4(2−x)+x×2−x×x
Factor out x from the expression
−4(2−x)+x(2−x)
Factor out 2−x from the expression
(−4+x)(2−x)
(−4+x)(2−x)=0
When the product of factors equals 0,at least one factor is 0
−4+x=02−x=0
Solve the equation for x
More Steps
Evaluate
−4+x=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=42−x=0
Solve the equation for x
More Steps
Evaluate
2−x=0
Move the constant to the right-hand side and change its sign
−x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−x=−2
Change the signs on both sides of the equation
x=2
x=4x=2
Solution
x1=2,x2=4
Show Solution