Solve (3x^4)*x^5=3x(4x^5)

Evaluate

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

Multiply the terms

More Steps

3 x^{9} = 3 x \times 4 x^{5}

Multiply

More Steps

3 x^{9} = 12 x^{6}

Add or subtract both sides

3 x^{9} - 12 x^{6} = 0

Factor the expression

3 x^{6} (x^{3} - 4) = 0

Divide both sides

x^{6} (x^{3} - 4) = 0

Separate the equation into 2 possible cases

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

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

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

Solve the equation

More Steps

x = 0 x = 34

Solution

x_{1} = 0, x_{2} = 34

Alternative Form

x_{1} = 0, x_{2} \approx 1.587401

Solve the equation