Solve 12b^221b 10=3b^2

Evaluate

12 b^{2} \times 21 b \times 10 = 3 b^{2}

Multiply

More Steps

2520 b^{3} = 3 b^{2}

Add or subtract both sides

2520 b^{3} - 3 b^{2} = 0

Factor the expression

3 b^{2} (840 b - 1) = 0

Divide both sides

b^{2} (840 b - 1) = 0

Separate the equation into 2 possible cases

b^{2} = 0 840 b - 1 = 0

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

b = 0 840 b - 1 = 0

Solve the equation

More Steps

b = 0 b = \frac{1}{840}

Solution

b_{1} = 0, b_{2} = \frac{1}{840}

Alternative Form

b_{1} = 0, b_{2} = 0.001 \dot{1} 9047 \dot{6}

Solve the equation