Solve a^3+a^2=150 a^2

Evaluate

a^{3} + a^{2} = 150 a^{2}

Move the expression to the left side

a^{3} + a^{2} - 150 a^{2} = 0

Subtract the terms

More Steps

a^{3} - 149 a^{2} = 0

Factor the expression

a^{2} (a - 149) = 0

Separate the equation into 2 possible cases

a^{2} = 0 a - 149 = 0

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

a = 0 a - 149 = 0

Solve the equation

More Steps

a = 0 a = 149

Solution

a_{1} = 0, a_{2} = 149

Solve the equation