Solve for x in the equation x2+10x+12=36

X² + 10x + 12 = 36

x² + 10x + 12-36 = 0

x² + 10x - 24 = 0

now by factorization;

x² + 12x - 2x - 24 = 0

x (x+12) - 2 (x+12) = 0

(x+12) (x-2) = 0

Now, x+12 = 0 and x-2 = 0

x = - 12 and x = 2

x = - 12, 2

Thus the values for x is - 12 and 2.