Question
Solve the equation
x=−434
Alternative Form
x≈−0.39685
Evaluate
4x2×20x=−5
Multiply
More Steps

Evaluate
4x2×20x
Multiply the terms
80x2×x
Multiply the terms with the same base by adding their exponents
80x2+1
Add the numbers
80x3
80x3=−5
Divide both sides
8080x3=80−5
Divide the numbers
x3=80−5
Divide the numbers
More Steps

Evaluate
80−5
Cancel out the common factor 5
16−1
Use b−a=−ba=−ba to rewrite the fraction
−161
x3=−161
Take the 3-th root on both sides of the equation
3x3=3−161
Calculate
x=3−161
Solution
More Steps

Evaluate
3−161
An odd root of a negative radicand is always a negative
−3161
To take a root of a fraction,take the root of the numerator and denominator separately
−31631
Simplify the radical expression
−3161
Simplify the radical expression
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
38×2
Write the number in exponential form with the base of 2
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
−2321
Multiply by the Conjugate
232×322−322
Simplify
232×322−34
Multiply the numbers
More Steps

Evaluate
232×322
Multiply the terms
2×2
Multiply the numbers
4
4−34
Calculate
−434
x=−434
Alternative Form
x≈−0.39685
Show Solution
