Question
Simplify the expression
4d6−84
Evaluate
d×d5×4−84
Solution
More Steps

Evaluate
d×d5×4
Multiply the terms with the same base by adding their exponents
d1+5×4
Add the numbers
d6×4
Use the commutative property to reorder the terms
4d6
4d6−84
Show Solution

Factor the expression
4(d6−21)
Evaluate
d×d5×4−84
Multiply
More Steps

Evaluate
d×d5×4
Multiply the terms with the same base by adding their exponents
d1+5×4
Add the numbers
d6×4
Use the commutative property to reorder the terms
4d6
4d6−84
Solution
4(d6−21)
Show Solution

Find the roots
d1=−621,d2=621
Alternative Form
d1≈−1.661001,d2≈1.661001
Evaluate
d×d5×4−84
To find the roots of the expression,set the expression equal to 0
d×d5×4−84=0
Multiply
More Steps

Multiply the terms
d×d5×4
Multiply the terms with the same base by adding their exponents
d1+5×4
Add the numbers
d6×4
Use the commutative property to reorder the terms
4d6
4d6−84=0
Move the constant to the right-hand side and change its sign
4d6=0+84
Removing 0 doesn't change the value,so remove it from the expression
4d6=84
Divide both sides
44d6=484
Divide the numbers
d6=484
Divide the numbers
More Steps

Evaluate
484
Reduce the numbers
121
Calculate
21
d6=21
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±621
Separate the equation into 2 possible cases
d=621d=−621
Solution
d1=−621,d2=621
Alternative Form
d1≈−1.661001,d2≈1.661001
Show Solution
