Question
Solve the equation
x=−2580
Alternative Form
x≈−1.201124
Evaluate
10=−4x3×x2
Multiply
More Steps

Evaluate
−4x3×x2
Multiply the terms with the same base by adding their exponents
−4x3+2
Add the numbers
−4x5
10=−4x5
Swap the sides of the equation
−4x5=10
Change the signs on both sides of the equation
4x5=−10
Divide both sides
44x5=4−10
Divide the numbers
x5=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
x5=−25
Take the 5-th root on both sides of the equation
5x5=5−25
Calculate
x=5−25
Solution
More Steps

Evaluate
5−25
An odd root of a negative radicand is always a negative
−525
To take a root of a fraction,take the root of the numerator and denominator separately
−5255
Multiply by the Conjugate
52×524−55×524
Simplify
52×524−55×516
Multiply the numbers
More Steps

Evaluate
−55×516
The product of roots with the same index is equal to the root of the product
−55×16
Calculate the product
−580
52×524−580
Multiply the numbers
More Steps

Evaluate
52×524
The product of roots with the same index is equal to the root of the product
52×24
Calculate the product
525
Reduce the index of the radical and exponent with 5
2
2−580
Calculate
−2580
x=−2580
Alternative Form
x≈−1.201124
Show Solution
