Question
Simplify the expression
−136x3−4
Evaluate
−2612x3−4
Solution
−136x3−4
Show Solution

Factor the expression
−132(3x3+26)
Evaluate
−2612x3−4
Cancel out the common factor 2
−136x3−4
Solution
−132(3x3+26)
Show Solution

Find the roots
x=−33234
Alternative Form
x≈−2.05408
Evaluate
−2612x3−4
To find the roots of the expression,set the expression equal to 0
−2612x3−4=0
Cancel out the common factor 2
−136x3−4=0
Move the constant to the right-hand side and change its sign
−136x3=0+4
Removing 0 doesn't change the value,so remove it from the expression
−136x3=4
Change the signs on both sides of the equation
136x3=−4
Multiply by the reciprocal
136x3×613=−4×613
Multiply
x3=−4×613
Multiply
More Steps

Evaluate
−4×613
Reduce the numbers
−2×313
Multiply the numbers
−32×13
Multiply the numbers
−326
x3=−326
Take the 3-th root on both sides of the equation
3x3=3−326
Calculate
x=3−326
Solution
More Steps

Evaluate
3−326
An odd root of a negative radicand is always a negative
−3326
To take a root of a fraction,take the root of the numerator and denominator separately
−33326
Multiply by the Conjugate
33×332−326×332
Simplify
33×332−326×39
Multiply the numbers
More Steps

Evaluate
−326×39
The product of roots with the same index is equal to the root of the product
−326×9
Calculate the product
−3234
33×332−3234
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
3−3234
Calculate
−33234
x=−33234
Alternative Form
x≈−2.05408
Show Solution
