Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(h−5)(5h+1)
Evaluate
5h2−24h−5
Rewrite the expression
5h2+(1−25)h−5
Calculate
5h2+h−25h−5
Rewrite the expression
h×5h+h−5×5h−5
Factor out h from the expression
h(5h+1)−5×5h−5
Factor out −5 from the expression
h(5h+1)−5(5h+1)
Solution
(h−5)(5h+1)
Show Solution
Find the roots
h1=−51,h2=5
Alternative Form
h1=−0.2,h2=5
Evaluate
5h2−24h−5
To find the roots of the expression,set the expression equal to 0
5h2−24h−5=0
Factor the expression
More Steps
Evaluate
5h2−24h−5
Rewrite the expression
5h2+(1−25)h−5
Calculate
5h2+h−25h−5
Rewrite the expression
h×5h+h−5×5h−5
Factor out h from the expression
h(5h+1)−5×5h−5
Factor out −5 from the expression
h(5h+1)−5(5h+1)
Factor out 5h+1 from the expression
(h−5)(5h+1)
(h−5)(5h+1)=0
When the product of factors equals 0,at least one factor is 0
h−5=05h+1=0
Solve the equation for h
More Steps
Evaluate
h−5=0
Move the constant to the right-hand side and change its sign
h=0+5
Removing 0 doesn't change the value,so remove it from the expression
h=5
h=55h+1=0
Solve the equation for h
More Steps
Evaluate
5h+1=0
Move the constant to the right-hand side and change its sign
5h=0−1
Removing 0 doesn't change the value,so remove it from the expression
5h=−1
Divide both sides
55h=5−1
Divide the numbers
h=5−1
Use b−a=−ba=−ba to rewrite the fraction
h=−51
h=5h=−51
Solution
h1=−51,h2=5
Alternative Form
h1=−0.2,h2=5
Show Solution