Question
Simplify the expression
−80x3−5
Evaluate
20x3−25x2×4x−5
Multiply
More Steps

Multiply the terms
−25x2×4x
Multiply the terms
−100x2×x
Multiply the terms with the same base by adding their exponents
−100x2+1
Add the numbers
−100x3
20x3−100x3−5
Solution
More Steps

Evaluate
20x3−100x3
Collect like terms by calculating the sum or difference of their coefficients
(20−100)x3
Subtract the numbers
−80x3
−80x3−5
Show Solution

Factor the expression
−5(16x3+1)
Evaluate
20x3−25x2×4x−5
Multiply
More Steps

Multiply the terms
25x2×4x
Multiply the terms
100x2×x
Multiply the terms with the same base by adding their exponents
100x2+1
Add the numbers
100x3
20x3−100x3−5
Subtract the terms
More Steps

Simplify
20x3−100x3
Collect like terms by calculating the sum or difference of their coefficients
(20−100)x3
Subtract the numbers
−80x3
−80x3−5
Solution
−5(16x3+1)
Show Solution

Find the roots
x=−434
Alternative Form
x≈−0.39685
Evaluate
20x3−25x2×4x−5
To find the roots of the expression,set the expression equal to 0
20x3−25x2×4x−5=0
Multiply
More Steps

Multiply the terms
25x2×4x
Multiply the terms
100x2×x
Multiply the terms with the same base by adding their exponents
100x2+1
Add the numbers
100x3
20x3−100x3−5=0
Subtract the terms
More Steps

Simplify
20x3−100x3
Collect like terms by calculating the sum or difference of their coefficients
(20−100)x3
Subtract the numbers
−80x3
−80x3−5=0
Move the constant to the right-hand side and change its sign
−80x3=0+5
Removing 0 doesn't change the value,so remove it from the expression
−80x3=5
Change the signs on both sides of the equation
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
