Question
Solve the equation
x=10312
Alternative Form
x≈0.228943
Evaluate
25x2×20x−6=0
Multiply
More Steps

Evaluate
25x2×20x
Multiply the terms
500x2×x
Multiply the terms with the same base by adding their exponents
500x2+1
Add the numbers
500x3
500x3−6=0
Move the constant to the right-hand side and change its sign
500x3=0+6
Removing 0 doesn't change the value,so remove it from the expression
500x3=6
Divide both sides
500500x3=5006
Divide the numbers
x3=5006
Cancel out the common factor 2
x3=2503
Take the 3-th root on both sides of the equation
3x3=32503
Calculate
x=32503
Solution
More Steps

Evaluate
32503
To take a root of a fraction,take the root of the numerator and denominator separately
325033
Simplify the radical expression
More Steps

Evaluate
3250
Write the expression as a product where the root of one of the factors can be evaluated
3125×2
Write the number in exponential form with the base of 5
353×2
The root of a product is equal to the product of the roots of each factor
353×32
Reduce the index of the radical and exponent with 3
532
53233
Multiply by the Conjugate
532×32233×322
Simplify
532×32233×34
Multiply the numbers
More Steps

Evaluate
33×34
The product of roots with the same index is equal to the root of the product
33×4
Calculate the product
312
532×322312
Multiply the numbers
More Steps

Evaluate
532×322
Multiply the terms
5×2
Multiply the terms
10
10312
x=10312
Alternative Form
x≈0.228943
Show Solution
