Solve x^33x^2 =16x^48

Evaluate

x^{3} \times 3 x^{2} = 16 x^{4} \times 8

Multiply

More Steps

3 x^{5} = 16 x^{4} \times 8

Multiply the terms

3 x^{5} = 128 x^{4}

Add or subtract both sides

3 x^{5} - 128 x^{4} = 0

Factor the expression

x^{4} (3 x - 128) = 0

Separate the equation into 2 possible cases

x^{4} = 0 3 x - 128 = 0

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

x = 0 3 x - 128 = 0

Solve the equation

More Steps

x = 0 x = \frac{128}{3}

Solution

x_{1} = 0, x_{2} = \frac{128}{3}

Alternative Form

x_{1} = 0, x_{2} = 42. \dot{6}

Solve the equation