Question
Simplify the expression
15d3−10d2
Evaluate
5d2(3d−2)
Apply the distributive property
5d2×3d−5d2×2
Multiply the terms
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Evaluate
5d2×3d
Multiply the numbers
15d2×d
Multiply the terms
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Evaluate
d2×d
Use the product rule an×am=an+m to simplify the expression
d2+1
Add the numbers
d3
15d3
15d3−5d2×2
Solution
15d3−10d2
Show Solution

Find the roots
d1=0,d2=32
Alternative Form
d1=0,d2=0.6˙
Evaluate
5d2(3d−2)
To find the roots of the expression,set the expression equal to 0
5d2(3d−2)=0
Elimination the left coefficient
d2(3d−2)=0
Separate the equation into 2 possible cases
d2=03d−2=0
The only way a power can be 0 is when the base equals 0
d=03d−2=0
Solve the equation
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Evaluate
3d−2=0
Move the constant to the right-hand side and change its sign
3d=0+2
Removing 0 doesn't change the value,so remove it from the expression
3d=2
Divide both sides
33d=32
Divide the numbers
d=32
d=0d=32
Solution
d1=0,d2=32
Alternative Form
d1=0,d2=0.6˙
Show Solution
