Question
x2×4x−96=0
Solve the equation
x=233
Alternative Form
x≈2.884499
Evaluate
x2×4x−96=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
4x3−96=0
Move the constant to the right-hand side and change its sign
4x3=0+96
Removing 0 doesn't change the value,so remove it from the expression
4x3=96
Divide both sides
44x3=496
Divide the numbers
x3=496
Divide the numbers
More Steps

Evaluate
496
Reduce the numbers
124
Calculate
24
x3=24
Take the 3-th root on both sides of the equation
3x3=324
Calculate
x=324
Solution
More Steps

Evaluate
324
Write the expression as a product where the root of one of the factors can be evaluated
38×3
Write the number in exponential form with the base of 2
323×3
The root of a product is equal to the product of the roots of each factor
323×33
Reduce the index of the radical and exponent with 3
233
x=233
Alternative Form
x≈2.884499
Show Solution
