Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
a(5−4a)
Evaluate
5a−4a2
Rewrite the expression
a×5−a×4a
Solution
a(5−4a)
Show Solution
Find the roots
a1=0,a2=45
Alternative Form
a1=0,a2=1.25
Evaluate
5a−(4a2)
To find the roots of the expression,set the expression equal to 0
5a−(4a2)=0
Multiply the terms
5a−4a2=0
Factor the expression
More Steps
Evaluate
5a−4a2
Rewrite the expression
a×5−a×4a
Factor out a from the expression
a(5−4a)
a(5−4a)=0
When the product of factors equals 0,at least one factor is 0
a=05−4a=0
Solve the equation for a
More Steps
Evaluate
5−4a=0
Move the constant to the right-hand side and change its sign
−4a=0−5
Removing 0 doesn't change the value,so remove it from the expression
−4a=−5
Change the signs on both sides of the equation
4a=5
Divide both sides
44a=45
Divide the numbers
a=45
a=0a=45
Solution
a1=0,a2=45
Alternative Form
a1=0,a2=1.25
Show Solution