Solve 7j 1=4(-2j-5) 12j

Evaluate

7 j \times 1 = 4 (- 2 j - 5) \times 12 j

Multiply the terms

7 j = 4 (- 2 j - 5) \times 12 j

Multiply

More Steps

7 j = 48 j (- 2 j - 5)

Swap the sides

48 j (- 2 j - 5) = 7 j

Expand the expression

More Steps

- 96 j^{2} - 240 j = 7 j

Move the expression to the left side

- 96 j^{2} - 247 j = 0

Factor the expression

More Steps

- j (96 j + 247) = 0

When the product of factors equals 0,at least one factor is 0

- j = 0 96 j + 247 = 0

Solve the equation for j

j = 0 96 j + 247 = 0

Solve the equation for j

More Steps

j = 0 j = - \frac{247}{96}

Solution

j_{1} = - \frac{247}{96}, j_{2} = 0

Alternative Form

j_{1} = - 2.57291 \dot{6}, j_{2} = 0

Solve the quadratic equation