Question
Factor the expression
Factor
(d−1)(d+10)
Evaluate
d2+9d−10
Rewrite the expression
d2+(10−1)d−10
Calculate
d2+10d−d−10
Rewrite the expression
d×d+d×10−d−10
Factor out d from the expression
d(d+10)−d−10
Factor out −1 from the expression
d(d+10)−(d+10)
Solution
(d−1)(d+10)
Show Solution
Find the roots
Find the roots of the algebra expression
d1=−10,d2=1
Evaluate
d2+9d−10
To find the roots of the expression,set the expression equal to 0
d2+9d−10=0
Factor the expression
More Steps
Evaluate
d2+9d−10
Rewrite the expression
d2+(10−1)d−10
Calculate
d2+10d−d−10
Rewrite the expression
d×d+d×10−d−10
Factor out d from the expression
d(d+10)−d−10
Factor out −1 from the expression
d(d+10)−(d+10)
Factor out d+10 from the expression
(d−1)(d+10)
(d−1)(d+10)=0
When the product of factors equals 0,at least one factor is 0
d−1=0d+10=0
Solve the equation for d
More Steps
Evaluate
d−1=0
Move the constant to the right-hand side and change its sign
d=0+1
Removing 0 doesn't change the value,so remove it from the expression
d=1
d=1d+10=0
Solve the equation for d
More Steps
Evaluate
d+10=0
Move the constant to the right-hand side and change its sign
d=0−10
Removing 0 doesn't change the value,so remove it from the expression
d=−10
d=1d=−10
Solution
d1=−10,d2=1
Show Solution