Question
Solve the equation
x=−73588
Alternative Form
x≈−1.196817
Evaluate
x2×14x=−24
Multiply
More Steps

Evaluate
x2×14x
Multiply the terms with the same base by adding their exponents
x2+1×14
Add the numbers
x3×14
Use the commutative property to reorder the terms
14x3
14x3=−24
Divide both sides
1414x3=14−24
Divide the numbers
x3=14−24
Divide the numbers
More Steps

Evaluate
14−24
Cancel out the common factor 2
7−12
Use b−a=−ba=−ba to rewrite the fraction
−712
x3=−712
Take the 3-th root on both sides of the equation
3x3=3−712
Calculate
x=3−712
Solution
More Steps

Evaluate
3−712
An odd root of a negative radicand is always a negative
−3712
To take a root of a fraction,take the root of the numerator and denominator separately
−37312
Multiply by the Conjugate
37×372−312×372
Simplify
37×372−312×349
Multiply the numbers
More Steps

Evaluate
−312×349
The product of roots with the same index is equal to the root of the product
−312×49
Calculate the product
−3588
37×372−3588
Multiply the numbers
More Steps

Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
7−3588
Calculate
−73588
x=−73588
Alternative Form
x≈−1.196817
Show Solution
