Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(p−5)(5p+2)
Evaluate
5p2−23p−10
Rewrite the expression
5p2+(2−25)p−10
Calculate
5p2+2p−25p−10
Rewrite the expression
p×5p+p×2−5×5p−5×2
Factor out p from the expression
p(5p+2)−5×5p−5×2
Factor out −5 from the expression
p(5p+2)−5(5p+2)
Solution
(p−5)(5p+2)
Show Solution
Find the roots
p1=−52,p2=5
Alternative Form
p1=−0.4,p2=5
Evaluate
5p2−23p−10
To find the roots of the expression,set the expression equal to 0
5p2−23p−10=0
Factor the expression
More Steps
Evaluate
5p2−23p−10
Rewrite the expression
5p2+(2−25)p−10
Calculate
5p2+2p−25p−10
Rewrite the expression
p×5p+p×2−5×5p−5×2
Factor out p from the expression
p(5p+2)−5×5p−5×2
Factor out −5 from the expression
p(5p+2)−5(5p+2)
Factor out 5p+2 from the expression
(p−5)(5p+2)
(p−5)(5p+2)=0
When the product of factors equals 0,at least one factor is 0
p−5=05p+2=0
Solve the equation for p
More Steps
Evaluate
p−5=0
Move the constant to the right-hand side and change its sign
p=0+5
Removing 0 doesn't change the value,so remove it from the expression
p=5
p=55p+2=0
Solve the equation for p
More Steps
Evaluate
5p+2=0
Move the constant to the right-hand side and change its sign
5p=0−2
Removing 0 doesn't change the value,so remove it from the expression
5p=−2
Divide both sides
55p=5−2
Divide the numbers
p=5−2
Use b−a=−ba=−ba to rewrite the fraction
p=−52
p=5p=−52
Solution
p1=−52,p2=5
Alternative Form
p1=−0.4,p2=5
Show Solution