Question
Simplify the expression
d−62d2−28d3
Evaluate
d−62d2−14d3×2
Solution
d−62d2−28d3
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Find the excluded values
d=6
Evaluate
d−62d2−14d3×2
To find the excluded values,set the denominators equal to 0
d−6=0
Move the constant to the right-hand side and change its sign
d=0+6
Solution
d=6
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Find the roots
d1=0,d2=141
Alternative Form
d1=0,d2=0.07˙14285˙
Evaluate
d−62d2−14d3×2
To find the roots of the expression,set the expression equal to 0
d−62d2−14d3×2=0
Find the domain
More Steps

Evaluate
d−6=0
Move the constant to the right side
d=0+6
Removing 0 doesn't change the value,so remove it from the expression
d=6
d−62d2−14d3×2=0,d=6
Calculate
d−62d2−14d3×2=0
Multiply the terms
d−62d2−28d3=0
Cross multiply
2d2−28d3=(d−6)×0
Simplify the equation
2d2−28d3=0
Factor the expression
2d2(1−14d)=0
Divide both sides
d2(1−14d)=0
Separate the equation into 2 possible cases
d2=01−14d=0
The only way a power can be 0 is when the base equals 0
d=01−14d=0
Solve the equation
More Steps

Evaluate
1−14d=0
Move the constant to the right-hand side and change its sign
−14d=0−1
Removing 0 doesn't change the value,so remove it from the expression
−14d=−1
Change the signs on both sides of the equation
14d=1
Divide both sides
1414d=141
Divide the numbers
d=141
d=0d=141
Check if the solution is in the defined range
d=0d=141,d=6
Find the intersection of the solution and the defined range
d=0d=141
Solution
d1=0,d2=141
Alternative Form
d1=0,d2=0.07˙14285˙
Show Solution
