Question
Solve the equation
x=7349
Alternative Form
x≈0.522758
Evaluate
7x2×2x−2=0
Multiply
More Steps

Evaluate
7x2×2x
Multiply the terms
14x2×x
Multiply the terms with the same base by adding their exponents
14x2+1
Add the numbers
14x3
14x3−2=0
Move the constant to the right-hand side and change its sign
14x3=0+2
Removing 0 doesn't change the value,so remove it from the expression
14x3=2
Divide both sides
1414x3=142
Divide the numbers
x3=142
Cancel out the common factor 2
x3=71
Take the 3-th root on both sides of the equation
3x3=371
Calculate
x=371
Solution
More Steps

Evaluate
371
To take a root of a fraction,take the root of the numerator and denominator separately
3731
Simplify the radical expression
371
Multiply by the Conjugate
37×372372
Simplify
37×372349
Multiply the numbers
More Steps

Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
7349
x=7349
Alternative Form
x≈0.522758
Show Solution
