Question
Solve the equation
x=236
Alternative Form
x≈3.634241
Evaluate
x2×4x−192=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
4x3−192=0
Move the constant to the right-hand side and change its sign
4x3=0+192
Removing 0 doesn't change the value,so remove it from the expression
4x3=192
Divide both sides
44x3=4192
Divide the numbers
x3=4192
Divide the numbers
More Steps

Evaluate
4192
Reduce the numbers
148
Calculate
48
x3=48
Take the 3-th root on both sides of the equation
3x3=348
Calculate
x=348
Solution
More Steps

Evaluate
348
Write the expression as a product where the root of one of the factors can be evaluated
38×6
Write the number in exponential form with the base of 2
323×6
The root of a product is equal to the product of the roots of each factor
323×36
Reduce the index of the radical and exponent with 3
236
x=236
Alternative Form
x≈3.634241
Show Solution
