Question
Solve the equation
x=12351
Alternative Form
x≈0.309036
Evaluate
32x2×18x−17=0
Multiply
More Steps

Evaluate
32x2×18x
Multiply the terms
576x2×x
Multiply the terms with the same base by adding their exponents
576x2+1
Add the numbers
576x3
576x3−17=0
Move the constant to the right-hand side and change its sign
576x3=0+17
Removing 0 doesn't change the value,so remove it from the expression
576x3=17
Divide both sides
576576x3=57617
Divide the numbers
x3=57617
Take the 3-th root on both sides of the equation
3x3=357617
Calculate
x=357617
Solution
More Steps

Evaluate
357617
To take a root of a fraction,take the root of the numerator and denominator separately
3576317
Simplify the radical expression
More Steps

Evaluate
3576
Write the expression as a product where the root of one of the factors can be evaluated
364×9
Write the number in exponential form with the base of 4
343×9
The root of a product is equal to the product of the roots of each factor
343×39
Reduce the index of the radical and exponent with 3
439
439317
Multiply by the Conjugate
439×392317×392
Simplify
439×392317×333
Multiply the numbers
More Steps

Evaluate
317×333
Multiply the terms
351×3
Use the commutative property to reorder the terms
3351
439×3923351
Multiply the numbers
More Steps

Evaluate
439×392
Multiply the terms
4×32
Multiply the terms
36
363351
Cancel out the common factor 3
12351
x=12351
Alternative Form
x≈0.309036
Show Solution
