Question
Solve the equation
x=−9439
Alternative Form
x≈−0.924482
Evaluate
27x3×6=−128
Multiply the terms
162x3=−128
Divide both sides
162162x3=162−128
Divide the numbers
x3=162−128
Divide the numbers
More Steps

Evaluate
162−128
Cancel out the common factor 2
81−64
Use b−a=−ba=−ba to rewrite the fraction
−8164
x3=−8164
Take the 3-th root on both sides of the equation
3x3=3−8164
Calculate
x=3−8164
Solution
More Steps

Evaluate
3−8164
An odd root of a negative radicand is always a negative
−38164
To take a root of a fraction,take the root of the numerator and denominator separately
−381364
Simplify the radical expression
More Steps

Evaluate
364
Write the number in exponential form with the base of 4
343
Reduce the index of the radical and exponent with 3
4
−3814
Simplify the radical expression
More Steps

Evaluate
381
Write the expression as a product where the root of one of the factors can be evaluated
327×3
Write the number in exponential form with the base of 3
333×3
The root of a product is equal to the product of the roots of each factor
333×33
Reduce the index of the radical and exponent with 3
333
−3334
Multiply by the Conjugate
333×332−4332
Simplify
333×332−439
Multiply the numbers
More Steps

Evaluate
333×332
Multiply the terms
3×3
Multiply the numbers
9
9−439
Calculate
−9439
x=−9439
Alternative Form
x≈−0.924482
Show Solution
