Solve 3x^212=22x^5

Evaluate

3 x^{2} \times 12 = 22 x^{5}

Multiply the terms

36 x^{2} = 22 x^{5}

Add or subtract both sides

36 x^{2} - 22 x^{5} = 0

Factor the expression

2 x^{2} (18 - 11 x^{3}) = 0

Divide both sides

x^{2} (18 - 11 x^{3}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 18 - 11 x^{3} = 0

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

x = 0 18 - 11 x^{3} = 0

Solve the equation

More Steps

x = 0 x = \frac{3 2178}{11}

Solution

x_{1} = 0, x_{2} = \frac{3 2178}{11}

Alternative Form

x_{1} = 0, x_{2} \approx 1.178401

Solve the equation