Question
Solve the equation
x=−6312
Alternative Form
x≈−0.381571
Evaluate
−5=5x2×18x
Multiply
More Steps

Evaluate
5x2×18x
Multiply the terms
90x2×x
Multiply the terms with the same base by adding their exponents
90x2+1
Add the numbers
90x3
−5=90x3
Swap the sides of the equation
90x3=−5
Divide both sides
9090x3=90−5
Divide the numbers
x3=90−5
Divide the numbers
More Steps

Evaluate
90−5
Cancel out the common factor 5
18−1
Use b−a=−ba=−ba to rewrite the fraction
−181
x3=−181
Take the 3-th root on both sides of the equation
3x3=3−181
Calculate
x=3−181
Solution
More Steps

Evaluate
3−181
An odd root of a negative radicand is always a negative
−3181
To take a root of a fraction,take the root of the numerator and denominator separately
−31831
Simplify the radical expression
−3181
Multiply by the Conjugate
318×3182−3182
Simplify
318×3182−3312
Multiply the numbers
More Steps

Evaluate
318×3182
The product of roots with the same index is equal to the root of the product
318×182
Calculate the product
3183
Reduce the index of the radical and exponent with 3
18
18−3312
Cancel out the common factor 3
6−312
Calculate
−6312
x=−6312
Alternative Form
x≈−0.381571
Show Solution
