Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
10y2−6y
Evaluate
21(20y2−12y)
Apply the distributive property
21×20y2−21×12y
Multiply the numbers
More Steps
Evaluate
21×20
Reduce the numbers
1×10
Simplify
10
10y2−21×12y
Solution
More Steps
Evaluate
21×12
Reduce the numbers
1×6
Simplify
6
10y2−6y
Show Solution
Factor the expression
2y(5y−3)
Evaluate
21(20y2−12y)
Factor the expression
More Steps
Evaluate
20y2−12y
Rewrite the expression
4y×5y−4y×3
Factor out 4y from the expression
4y(5y−3)
21×4y(5y−3)
Solution
2y(5y−3)
Show Solution
Find the roots
y1=0,y2=53
Alternative Form
y1=0,y2=0.6
Evaluate
21(20y2−12y)
To find the roots of the expression,set the expression equal to 0
21(20y2−12y)=0
Multiply both sides
21(20y2−12y)×2=0×2
Calculate
20y2−12y=0
Factor the expression
More Steps
Evaluate
20y2−12y
Rewrite the expression
4y×5y−4y×3
Factor out 4y from the expression
4y(5y−3)
4y(5y−3)=0
When the product of factors equals 0,at least one factor is 0
4y=05y−3=0
Solve the equation for y
y=05y−3=0
Solve the equation for y
More Steps
Evaluate
5y−3=0
Move the constant to the right-hand side and change its sign
5y=0+3
Removing 0 doesn't change the value,so remove it from the expression
5y=3
Divide both sides
55y=53
Divide the numbers
y=53
y=0y=53
Solution
y1=0,y2=53
Alternative Form
y1=0,y2=0.6
Show Solution