Question
Solve the equation
x=232
Alternative Form
x≈0.629961
Evaluate
4x2×9x−7=2
Multiply
More Steps

Evaluate
4x2×9x
Multiply the terms
36x2×x
Multiply the terms with the same base by adding their exponents
36x2+1
Add the numbers
36x3
36x3−7=2
Move the constant to the right-hand side and change its sign
36x3=2+7
Add the numbers
36x3=9
Divide both sides
3636x3=369
Divide the numbers
x3=369
Cancel out the common factor 9
x3=41
Take the 3-th root on both sides of the equation
3x3=341
Calculate
x=341
Solution
More Steps

Evaluate
341
To take a root of a fraction,take the root of the numerator and denominator separately
3431
Simplify the radical expression
341
Multiply by the Conjugate
34×342342
Simplify
34×342232
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22232
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
232
x=232
Alternative Form
x≈0.629961
Show Solution
