Question
Simplify the expression
210y7−168y6
Evaluate
7(5y−4)×2×3y6
Multiply the terms
More Steps

Evaluate
7×2×3
Multiply the terms
14×3
Multiply the numbers
42
42(5y−4)y6
Multiply the terms
42y6(5y−4)
Apply the distributive property
42y6×5y−42y6×4
Multiply the terms
More Steps

Evaluate
42y6×5y
Multiply the numbers
210y6×y
Multiply the terms
More Steps

Evaluate
y6×y
Use the product rule an×am=an+m to simplify the expression
y6+1
Add the numbers
y7
210y7
210y7−42y6×4
Solution
210y7−168y6
Show Solution

Find the roots
y1=0,y2=54
Alternative Form
y1=0,y2=0.8
Evaluate
7(5y−4)×2(3y6)
To find the roots of the expression,set the expression equal to 0
7(5y−4)×2(3y6)=0
Multiply the terms
7(5y−4)×2×3y6=0
Multiply
More Steps

Multiply the terms
7(5y−4)×2×3y6
Multiply the terms
More Steps

Evaluate
7×2×3
Multiply the terms
14×3
Multiply the numbers
42
42(5y−4)y6
Multiply the terms
42y6(5y−4)
42y6(5y−4)=0
Elimination the left coefficient
y6(5y−4)=0
Separate the equation into 2 possible cases
y6=05y−4=0
The only way a power can be 0 is when the base equals 0
y=05y−4=0
Solve the equation
More Steps

Evaluate
5y−4=0
Move the constant to the right-hand side and change its sign
5y=0+4
Removing 0 doesn't change the value,so remove it from the expression
5y=4
Divide both sides
55y=54
Divide the numbers
y=54
y=0y=54
Solution
y1=0,y2=54
Alternative Form
y1=0,y2=0.8
Show Solution
