Question
Simplify the expression
2768706192d2−40
Evaluate
922902064d2×3−40
Solution
2768706192d2−40
Show Solution

Factor the expression
8(346088274d2−5)
Evaluate
922902064d2×3−40
Multiply the terms
2768706192d2−40
Solution
8(346088274d2−5)
Show Solution

Find the roots
d1=−4944118235315130,d2=4944118235315130
Alternative Form
d1≈−0.00012,d2≈0.00012
Evaluate
922902064d2×3−40
To find the roots of the expression,set the expression equal to 0
922902064d2×3−40=0
Multiply the terms
2768706192d2−40=0
Move the constant to the right-hand side and change its sign
2768706192d2=0+40
Removing 0 doesn't change the value,so remove it from the expression
2768706192d2=40
Divide both sides
27687061922768706192d2=276870619240
Divide the numbers
d2=276870619240
Cancel out the common factor 8
d2=3460882745
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±3460882745
Simplify the expression
More Steps

Evaluate
3460882745
To take a root of a fraction,take the root of the numerator and denominator separately
3460882745
Simplify the radical expression
More Steps

Evaluate
346088274
Write the expression as a product where the root of one of the factors can be evaluated
49×7063026
Write the number in exponential form with the base of 7
72×7063026
The root of a product is equal to the product of the roots of each factor
72×7063026
Reduce the index of the radical and exponent with 2
77063026
770630265
Multiply by the Conjugate
77063026×70630265×7063026
Multiply the numbers
More Steps

Evaluate
5×7063026
The product of roots with the same index is equal to the root of the product
5×7063026
Calculate the product
35315130
77063026×706302635315130
Multiply the numbers
More Steps

Evaluate
77063026×7063026
When a square root of an expression is multiplied by itself,the result is that expression
7×7063026
Multiply the terms
49441182
4944118235315130
d=±4944118235315130
Separate the equation into 2 possible cases
d=4944118235315130d=−4944118235315130
Solution
d1=−4944118235315130,d2=4944118235315130
Alternative Form
d1≈−0.00012,d2≈0.00012
Show Solution
