Solve 9u^6u=10u^45

Evaluate

9 u^{6} \times u = 10 u^{4} \times 5

Multiply

More Steps

9 u^{7} = 10 u^{4} \times 5

Multiply the terms

9 u^{7} = 50 u^{4}

Add or subtract both sides

9 u^{7} - 50 u^{4} = 0

Factor the expression

u^{4} (9 u^{3} - 50) = 0

Separate the equation into 2 possible cases

u^{4} = 0 9 u^{3} - 50 = 0

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

u = 0 9 u^{3} - 50 = 0

Solve the equation

More Steps

u = 0 u = \frac{3 150}{3}

Solution

u_{1} = 0, u_{2} = \frac{3 150}{3}

Alternative Form

u_{1} = 0, u_{2} \approx 1.771098

Solve the equation