Question
4x2×12x−16=0
Solve the equation
x=339
Alternative Form
x≈0.693361
Evaluate
4x2×12x−16=0
Multiply
More Steps

Evaluate
4x2×12x
Multiply the terms
48x2×x
Multiply the terms with the same base by adding their exponents
48x2+1
Add the numbers
48x3
48x3−16=0
Move the constant to the right-hand side and change its sign
48x3=0+16
Removing 0 doesn't change the value,so remove it from the expression
48x3=16
Divide both sides
4848x3=4816
Divide the numbers
x3=4816
Cancel out the common factor 16
x3=31
Take the 3-th root on both sides of the equation
3x3=331
Calculate
x=331
Solution
More Steps

Evaluate
331
To take a root of a fraction,take the root of the numerator and denominator separately
3331
Simplify the radical expression
331
Multiply by the Conjugate
33×332332
Simplify
33×33239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
339
x=339
Alternative Form
x≈0.693361
Show Solution
