Question
Simplify the expression
−9c3−12000
Evaluate
−c3×9−12000
Solution
−9c3−12000
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Factor the expression
−3(3c3+4000)
Evaluate
−c3×9−12000
Use the commutative property to reorder the terms
−9c3−12000
Solution
−3(3c3+4000)
Show Solution

Find the roots
c=−310336
Alternative Form
c≈−11.006424
Evaluate
−c3×9−12000
To find the roots of the expression,set the expression equal to 0
−c3×9−12000=0
Use the commutative property to reorder the terms
−9c3−12000=0
Move the constant to the right-hand side and change its sign
−9c3=0+12000
Removing 0 doesn't change the value,so remove it from the expression
−9c3=12000
Change the signs on both sides of the equation
9c3=−12000
Divide both sides
99c3=9−12000
Divide the numbers
c3=9−12000
Divide the numbers
More Steps

Evaluate
9−12000
Cancel out the common factor 3
3−4000
Use b−a=−ba=−ba to rewrite the fraction
−34000
c3=−34000
Take the 3-th root on both sides of the equation
3c3=3−34000
Calculate
c=3−34000
Solution
More Steps

Evaluate
3−34000
An odd root of a negative radicand is always a negative
−334000
To take a root of a fraction,take the root of the numerator and denominator separately
−3334000
Simplify the radical expression
More Steps

Evaluate
34000
Write the expression as a product where the root of one of the factors can be evaluated
31000×4
Write the number in exponential form with the base of 10
3103×4
The root of a product is equal to the product of the roots of each factor
3103×34
Reduce the index of the radical and exponent with 3
1034
−331034
Multiply by the Conjugate
33×332−1034×332
Simplify
33×332−1034×39
Multiply the numbers
More Steps

Evaluate
34×39
The product of roots with the same index is equal to the root of the product
34×9
Calculate the product
336
33×332−10336
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3−10336
Calculate
−310336
c=−310336
Alternative Form
c≈−11.006424
Show Solution
