Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(6−x)(5+x)
Evaluate
30+x−x2
Rewrite the expression
30+(6−5)x−x2
Calculate
30+6x−5x−x2
Rewrite the expression
6×5+6x−x×5−x×x
Factor out 6 from the expression
6(5+x)−x×5−x×x
Factor out −x from the expression
6(5+x)−x(5+x)
Solution
(6−x)(5+x)
Show Solution
Find the roots
x1=−5,x2=6
Evaluate
30+x−x2
To find the roots of the expression,set the expression equal to 0
30+x−x2=0
Factor the expression
More Steps
Evaluate
30+x−x2
Rewrite the expression
30+(6−5)x−x2
Calculate
30+6x−5x−x2
Rewrite the expression
6×5+6x−x×5−x×x
Factor out 6 from the expression
6(5+x)−x×5−x×x
Factor out −x from the expression
6(5+x)−x(5+x)
Factor out 5+x from the expression
(6−x)(5+x)
(6−x)(5+x)=0
When the product of factors equals 0,at least one factor is 0
6−x=05+x=0
Solve the equation for x
More Steps
Evaluate
6−x=0
Move the constant to the right-hand side and change its sign
−x=0−6
Removing 0 doesn't change the value,so remove it from the expression
−x=−6
Change the signs on both sides of the equation
x=6
x=65+x=0
Solve the equation for x
More Steps
Evaluate
5+x=0
Move the constant to the right-hand side and change its sign
x=0−5
Removing 0 doesn't change the value,so remove it from the expression
x=−5
x=6x=−5
Solution
x1=−5,x2=6
Show Solution