Question
Solve the equation
x=−63180
Alternative Form
x≈−0.941036
Evaluate
−36x3×6=180
Multiply the terms
−216x3=180
Change the signs on both sides of the equation
216x3=−180
Divide both sides
216216x3=216−180
Divide the numbers
x3=216−180
Divide the numbers
More Steps

Evaluate
216−180
Cancel out the common factor 36
6−5
Use b−a=−ba=−ba to rewrite the fraction
−65
x3=−65
Take the 3-th root on both sides of the equation
3x3=3−65
Calculate
x=3−65
Solution
More Steps

Evaluate
3−65
An odd root of a negative radicand is always a negative
−365
To take a root of a fraction,take the root of the numerator and denominator separately
−3635
Multiply by the Conjugate
36×362−35×362
Simplify
36×362−35×336
Multiply the numbers
More Steps

Evaluate
−35×336
The product of roots with the same index is equal to the root of the product
−35×36
Calculate the product
−3180
36×362−3180
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6−3180
Calculate
−63180
x=−63180
Alternative Form
x≈−0.941036
Show Solution
