Question
Simplify the expression
48y2−72y
Evaluate
6(2y−3)×4y
Multiply the terms
24(2y−3)y
Multiply the terms
24y(2y−3)
Apply the distributive property
24y×2y−24y×3
Multiply the terms
More Steps

Evaluate
24y×2y
Multiply the numbers
48y×y
Multiply the terms
48y2
48y2−24y×3
Solution
48y2−72y
Show Solution

Find the roots
y1=0,y2=23
Alternative Form
y1=0,y2=1.5
Evaluate
6(2y−3)×4y
To find the roots of the expression,set the expression equal to 0
6(2y−3)×4y=0
Multiply
More Steps

Multiply the terms
6(2y−3)×4y
Multiply the terms
24(2y−3)y
Multiply the terms
24y(2y−3)
24y(2y−3)=0
Elimination the left coefficient
y(2y−3)=0
Separate the equation into 2 possible cases
y=02y−3=0
Solve the equation
More Steps

Evaluate
2y−3=0
Move the constant to the right-hand side and change its sign
2y=0+3
Removing 0 doesn't change the value,so remove it from the expression
2y=3
Divide both sides
22y=23
Divide the numbers
y=23
y=0y=23
Solution
y1=0,y2=23
Alternative Form
y1=0,y2=1.5
Show Solution
