Question
Factor the expression
Factor
(p−2)(5p+9)
Evaluate
5p2−p−18
Rewrite the expression
5p2+(9−10)p−18
Calculate
5p2+9p−10p−18
Rewrite the expression
p×5p+p×9−2×5p−2×9
Factor out p from the expression
p(5p+9)−2×5p−2×9
Factor out −2 from the expression
p(5p+9)−2(5p+9)
Solution
(p−2)(5p+9)
Show Solution
Find the roots
Find the roots of the algebra expression
p1=−59,p2=2
Alternative Form
p1=−1.8,p2=2
Evaluate
5p2−p−18
To find the roots of the expression,set the expression equal to 0
5p2−p−18=0
Factor the expression
More Steps
Evaluate
5p2−p−18
Rewrite the expression
5p2+(9−10)p−18
Calculate
5p2+9p−10p−18
Rewrite the expression
p×5p+p×9−2×5p−2×9
Factor out p from the expression
p(5p+9)−2×5p−2×9
Factor out −2 from the expression
p(5p+9)−2(5p+9)
Factor out 5p+9 from the expression
(p−2)(5p+9)
(p−2)(5p+9)=0
When the product of factors equals 0,at least one factor is 0
p−2=05p+9=0
Solve the equation for p
More Steps
Evaluate
p−2=0
Move the constant to the right-hand side and change its sign
p=0+2
Removing 0 doesn't change the value,so remove it from the expression
p=2
p=25p+9=0
Solve the equation for p
More Steps
Evaluate
5p+9=0
Move the constant to the right-hand side and change its sign
5p=0−9
Removing 0 doesn't change the value,so remove it from the expression
5p=−9
Divide both sides
55p=5−9
Divide the numbers
p=5−9
Use b−a=−ba=−ba to rewrite the fraction
p=−59
p=2p=−59
Solution
p1=−59,p2=2
Alternative Form
p1=−1.8,p2=2
Show Solution