Solve |2 - 5m/2| - 10 = 4

Evaluate

2 - (5 \times \frac{m}{2}) - 10 = 4

Multiply the terms

2 - \frac{5 m}{2} - 10 = 4

Move the constant to the right-hand side and change its sign

2 - \frac{5 m}{2} = 4 + 10

Add the numbers

2 - \frac{5 m}{2} = 14

Separate the equation into 2 possible cases

2 - \frac{5 m}{2} = 14 2 - \frac{5 m}{2} = - 14

Solve the equation for m

More Steps

m = - \frac{24}{5} 2 - \frac{5 m}{2} = - 14

Solve the equation for m

More Steps

m = - \frac{24}{5} m = \frac{32}{5}

Solution

m_{1} = - \frac{24}{5}, m_{2} = \frac{32}{5}

Alternative Form

m_{1} = - 4.8, m_{2} = 6.4

Solve the equation