Question
Simplify the expression
−55x3−12
Evaluate
5x3−10x2×6x−12
Multiply
More Steps

Multiply the terms
−10x2×6x
Multiply the terms
−60x2×x
Multiply the terms with the same base by adding their exponents
−60x2+1
Add the numbers
−60x3
5x3−60x3−12
Solution
More Steps

Evaluate
5x3−60x3
Collect like terms by calculating the sum or difference of their coefficients
(5−60)x3
Subtract the numbers
−55x3
−55x3−12
Show Solution

Find the roots
x=−55336300
Alternative Form
x≈−0.602013
Evaluate
5x3−10x2×6x−12
To find the roots of the expression,set the expression equal to 0
5x3−10x2×6x−12=0
Multiply
More Steps

Multiply the terms
10x2×6x
Multiply the terms
60x2×x
Multiply the terms with the same base by adding their exponents
60x2+1
Add the numbers
60x3
5x3−60x3−12=0
Subtract the terms
More Steps

Simplify
5x3−60x3
Collect like terms by calculating the sum or difference of their coefficients
(5−60)x3
Subtract the numbers
−55x3
−55x3−12=0
Move the constant to the right-hand side and change its sign
−55x3=0+12
Removing 0 doesn't change the value,so remove it from the expression
−55x3=12
Change the signs on both sides of the equation
55x3=−12
Divide both sides
5555x3=55−12
Divide the numbers
x3=55−12
Use b−a=−ba=−ba to rewrite the fraction
x3=−5512
Take the 3-th root on both sides of the equation
3x3=3−5512
Calculate
x=3−5512
Solution
More Steps

Evaluate
3−5512
An odd root of a negative radicand is always a negative
−35512
To take a root of a fraction,take the root of the numerator and denominator separately
−355312
Multiply by the Conjugate
355×3552−312×3552
Simplify
355×3552−312×33025
Multiply the numbers
More Steps

Evaluate
−312×33025
The product of roots with the same index is equal to the root of the product
−312×3025
Calculate the product
−336300
355×3552−336300
Multiply the numbers
More Steps

Evaluate
355×3552
The product of roots with the same index is equal to the root of the product
355×552
Calculate the product
3553
Reduce the index of the radical and exponent with 3
55
55−336300
Calculate
−55336300
x=−55336300
Alternative Form
x≈−0.602013
Show Solution
