Question
Solve the equation
x=2325
Alternative Form
x≈5.848035
Evaluate
x2×10x−2000=0
Multiply
More Steps

Evaluate
x2×10x
Multiply the terms with the same base by adding their exponents
x2+1×10
Add the numbers
x3×10
Use the commutative property to reorder the terms
10x3
10x3−2000=0
Move the constant to the right-hand side and change its sign
10x3=0+2000
Removing 0 doesn't change the value,so remove it from the expression
10x3=2000
Divide both sides
1010x3=102000
Divide the numbers
x3=102000
Divide the numbers
More Steps

Evaluate
102000
Reduce the numbers
1200
Calculate
200
x3=200
Take the 3-th root on both sides of the equation
3x3=3200
Calculate
x=3200
Solution
More Steps

Evaluate
3200
Write the expression as a product where the root of one of the factors can be evaluated
38×25
Write the number in exponential form with the base of 2
323×25
The root of a product is equal to the product of the roots of each factor
323×325
Reduce the index of the radical and exponent with 3
2325
x=2325
Alternative Form
x≈5.848035
Show Solution
