Algebra-2

Question Analysis
This problem assesses the ability to solve an equation involving a rational exponent. It requires isolating the term with the rational exponent, raising both sides to the reciprocal power, and then solving the resulting equation.

Key Concept Explanation
Rational Exponent: . Here, (cube root of a square, which is non-negative for all real x).
Undoing Exponents: To solve for a variable with a rational exponent , raise both sides to the power of (the reciprocal) to simplify. For , the reciprocal is .
Even Exponent Property: Since the numerator of the exponent is 2 (even), the equation will yield two solutions ( ) when simplified.

Step-by-step Solution
1. Eliminate the coefficient by multiplying both sides by 2:

Simplifies to: .
2. Undo the exponent by raising both sides to the power:
.
Left side: