Solve 21z^5 - 49z^2 = 0

Evaluate

21 z^{5} - 49 z^{2} = 0

Factor the expression

7 z^{2} (3 z^{3} - 7) = 0

Divide both sides

z^{2} (3 z^{3} - 7) = 0

Separate the equation into 2 possible cases

z^{2} = 0 3 z^{3} - 7 = 0

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

z = 0 3 z^{3} - 7 = 0

Solve the equation

More Steps

z = 0 z = \frac{3 63}{3}

Solution

z_{1} = 0, z_{2} = \frac{3 63}{3}

Alternative Form

z_{1} = 0, z_{2} \approx 1.326352

Solve the equation