Solve 3x^27x^5=3x^4

Evaluate

3 x^{2} \times 7 x^{5} = 3 x^{4}

Multiply

More Steps

21 x^{7} = 3 x^{4}

Add or subtract both sides

21 x^{7} - 3 x^{4} = 0

Factor the expression

3 x^{4} (7 x^{3} - 1) = 0

Divide both sides

x^{4} (7 x^{3} - 1) = 0

Separate the equation into 2 possible cases

x^{4} = 0 7 x^{3} - 1 = 0

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

x = 0 7 x^{3} - 1 = 0

Solve the equation

More Steps

x = 0 x = \frac{3 49}{7}

Solution

x_{1} = 0, x_{2} = \frac{3 49}{7}

Alternative Form

x_{1} = 0, x_{2} \approx 0.522758

Solve the equation