Solve the equation m²+4m=-2

Step 1: Subtract - 2 from both sides.

m2 + 4m - (-2) = - 2 - (-2)

m2 + 4m + 2 = 0

Step 2: Use quadratic formula with a=1, b=4, c=2.

m = - b ± √ b2 - 4a c 2a

m = - (4) ± √ (4) 2 - 4 (1) (2) 2 (1)

m = - 4 ± √8 2

m = - 2 + √2 or m = - 2 - √2