Question
Simplify the expression
15d5−5d4
Evaluate
5d4(3d−1)
Apply the distributive property
5d4×3d−5d4×1
Multiply the terms
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Evaluate
5d4×3d
Multiply the numbers
15d4×d
Multiply the terms
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Evaluate
d4×d
Use the product rule an×am=an+m to simplify the expression
d4+1
Add the numbers
d5
15d5
15d5−5d4×1
Solution
15d5−5d4
Show Solution

Find the roots
d1=0,d2=31
Alternative Form
d1=0,d2=0.3˙
Evaluate
(5d4)(3d−1)
To find the roots of the expression,set the expression equal to 0
(5d4)(3d−1)=0
Multiply the terms
5d4(3d−1)=0
Elimination the left coefficient
d4(3d−1)=0
Separate the equation into 2 possible cases
d4=03d−1=0
The only way a power can be 0 is when the base equals 0
d=03d−1=0
Solve the equation
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Evaluate
3d−1=0
Move the constant to the right-hand side and change its sign
3d=0+1
Removing 0 doesn't change the value,so remove it from the expression
3d=1
Divide both sides
33d=31
Divide the numbers
d=31
d=0d=31
Solution
d1=0,d2=31
Alternative Form
d1=0,d2=0.3˙
Show Solution
