Solve 24^3x^6=x^2 x

Evaluate

2 4^{3} x^{6} = x^{2} \times x

Multiply the terms

More Steps

2 4^{3} x^{6} = x^{3}

Move the expression to the left side

2 4^{3} x^{6} - x^{3} = 0

Add or subtract both sides

13824 x^{6} - x^{3} = 0

Factor the expression

x^{3} (13824 x^{3} - 1) = 0

Separate the equation into 2 possible cases

x^{3} = 0 13824 x^{3} - 1 = 0

The only way a power can be 0 is when the base equals 0

x = 0 13824 x^{3} - 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{1}{24}

Solution

x_{1} = 0, x_{2} = \frac{1}{24}

Alternative Form

x_{1} = 0, x_{2} = 0.041 \dot{6}

24^3x^6=x^2 x