Question
Solve the equation
y=−2320
Alternative Form
y≈−1.357209
Evaluate
4y2(y×1)=−10
Remove the parentheses
4y2×y×1=−10
Multiply the terms
More Steps

Evaluate
4y2×y×1
Rewrite the expression
4y2×y
Multiply the terms with the same base by adding their exponents
4y2+1
Add the numbers
4y3
4y3=−10
Divide both sides
44y3=4−10
Divide the numbers
y3=4−10
Divide the numbers
More Steps

Evaluate
4−10
Cancel out the common factor 2
2−5
Use b−a=−ba=−ba to rewrite the fraction
−25
y3=−25
Take the 3-th root on both sides of the equation
3y3=3−25
Calculate
y=3−25
Solution
More Steps

Evaluate
3−25
An odd root of a negative radicand is always a negative
−325
To take a root of a fraction,take the root of the numerator and denominator separately
−3235
Multiply by the Conjugate
32×322−35×322
Simplify
32×322−35×34
Multiply the numbers
More Steps

Evaluate
−35×34
The product of roots with the same index is equal to the root of the product
−35×4
Calculate the product
−320
32×322−320
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2−320
Calculate
−2320
y=−2320
Alternative Form
y≈−1.357209
Show Solution
