Question
Solve the equation
Solve for x
Solve for a
x=0x=2∣a∣2ax=−2∣a∣2a
Evaluate
2x3a=x
Rewrite the expression
2ax3=x
Add or subtract both sides
2ax3−x=0
Factor the expression
x(2ax2−1)=0
Separate the equation into 2 possible cases
x=02ax2−1=0
Solution
More Steps

Evaluate
2ax2−1=0
Move the constant to the right-hand side and change its sign
2ax2=0+1
Removing 0 doesn't change the value,so remove it from the expression
2ax2=1
Divide both sides
2a2ax2=2a1
Divide the numbers
x2=2a1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±2a1
Simplify the expression
More Steps

Evaluate
2a1
To take a root of a fraction,take the root of the numerator and denominator separately
2a1
Simplify the radical expression
2a1
Multiply by the Conjugate
2a×2a1×2a
Calculate
2∣a∣1×2a
Calculate
2∣a∣2a
x=±2∣a∣2a
Separate the equation into 2 possible cases
x=2∣a∣2ax=−2∣a∣2a
x=0x=2∣a∣2ax=−2∣a∣2a
Show Solution
