Question
−3x2×8x−4
Simplify the expression
−24x3−4
Evaluate
−3x2×8x−4
Solution
More Steps

Evaluate
−3x2×8x
Multiply the terms
−24x2×x
Multiply the terms with the same base by adding their exponents
−24x2+1
Add the numbers
−24x3
−24x3−4
Show Solution

Factor the expression
−4(6x3+1)
Evaluate
−3x2×8x−4
Multiply
More Steps

Evaluate
−3x2×8x
Multiply the terms
−24x2×x
Multiply the terms with the same base by adding their exponents
−24x2+1
Add the numbers
−24x3
−24x3−4
Solution
−4(6x3+1)
Show Solution

Find the roots
x=−6336
Alternative Form
x≈−0.550321
Evaluate
−3x2×8x−4
To find the roots of the expression,set the expression equal to 0
−3x2×8x−4=0
Multiply
More Steps

Multiply the terms
−3x2×8x
Multiply the terms
−24x2×x
Multiply the terms with the same base by adding their exponents
−24x2+1
Add the numbers
−24x3
−24x3−4=0
Move the constant to the right-hand side and change its sign
−24x3=0+4
Removing 0 doesn't change the value,so remove it from the expression
−24x3=4
Change the signs on both sides of the equation
24x3=−4
Divide both sides
2424x3=24−4
Divide the numbers
x3=24−4
Divide the numbers
More Steps

Evaluate
24−4
Cancel out the common factor 4
6−1
Use b−a=−ba=−ba to rewrite the fraction
−61
x3=−61
Take the 3-th root on both sides of the equation
3x3=3−61
Calculate
x=3−61
Solution
More Steps

Evaluate
3−61
An odd root of a negative radicand is always a negative
−361
To take a root of a fraction,take the root of the numerator and denominator separately
−3631
Simplify the radical expression
−361
Multiply by the Conjugate
36×362−362
Simplify
36×362−336
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6−336
Calculate
−6336
x=−6336
Alternative Form
x≈−0.550321
Show Solution
