Question
Solve the equation
x=−2330
Alternative Form
x≈−1.553616
Evaluate
−32×5x3=21
Multiply the terms
More Steps

Multiply the terms
32×5x3
Multiply the terms
3×52x3
Multiply the terms
152x3
−152x3=21
Rewrite the expression
15−2x3=21
Multiply both sides of the equation by 15
15−2x3×15=21×15
Multiply the terms
−2x3=215
Change the signs on both sides of the equation
2x3=−215
Multiply by the reciprocal
2x3×21=−215×21
Multiply
x3=−215×21
Multiply
More Steps

Evaluate
−215×21
To multiply the fractions,multiply the numerators and denominators separately
−2×215
Multiply the numbers
−415
x3=−415
Take the 3-th root on both sides of the equation
3x3=3−415
Calculate
x=3−415
Solution
More Steps

Evaluate
3−415
An odd root of a negative radicand is always a negative
−3415
To take a root of a fraction,take the root of the numerator and denominator separately
−34315
Multiply by the Conjugate
34×342−315×342
Simplify
34×342−315×232
Multiply the numbers
More Steps

Evaluate
−315×232
Multiply the terms
−330×2
Use the commutative property to reorder the terms
−2330
34×342−2330
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22−2330
Reduce the fraction
More Steps

Evaluate
22−2
Use the product rule aman=an−m to simplify the expression
22−1−1
Subtract the terms
21−1
Simplify
2−1
2−330
Calculate
−2330
x=−2330
Alternative Form
x≈−1.553616
Show Solution
