Question
Solve the equation
Solve for x
Solve for c
x=2390c
Evaluate
x2(8×2x)=45c
Remove the parentheses
x2×8×2x=45c
Multiply the terms
More Steps

Evaluate
x2×8×2x
Use the commutative property to reorder the terms
8x2×2x
Cancel out the common factor 2
4x2×x
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
4x3
4x3=45c
Divide both sides
44x3=445c
Divide the numbers
x3=445c
Take the 3-th root on both sides of the equation
3x3=3445c
Calculate
x=3445c
Solution
More Steps

Evaluate
3445c
To take a root of a fraction,take the root of the numerator and denominator separately
34345c
Multiply by the Conjugate
34×342345c×342
Calculate
22345c×342
Calculate
More Steps

Evaluate
345c×342
The product of roots with the same index is equal to the root of the product
345c×42
Calculate the product
3720c
Write the expression as a product where the root of one of the factors can be evaluated
38×90c
Write the number in exponential form with the base of 2
323×90c
The root of a product is equal to the product of the roots of each factor
323×390c
Reduce the index of the radical and exponent with 3
2390c
222390c
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2390c
x=2390c
Show Solution
