Question
Solve the equation
x=232
Alternative Form
x≈2.519842
Evaluate
x2×4x−64=0
Multiply
More Steps

Evaluate
x2×4x
Multiply the terms with the same base by adding their exponents
x2+1×4
Add the numbers
x3×4
Use the commutative property to reorder the terms
4x3
4x3−64=0
Move the constant to the right-hand side and change its sign
4x3=0+64
Removing 0 doesn't change the value,so remove it from the expression
4x3=64
Divide both sides
44x3=464
Divide the numbers
x3=464
Divide the numbers
More Steps

Evaluate
464
Reduce the numbers
116
Calculate
16
x3=16
Take the 3-th root on both sides of the equation
3x3=316
Calculate
x=316
Solution
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
x=232
Alternative Form
x≈2.519842
Show Solution
