Question

solve by factoring: 14x=-x^2-45

Answer 1

get it in standard form first:
14x=-x^2-45
x^2 + 14x + 45 = 0

now factor:
x^2 + 14x + 45 = 0
(x + 9)(x + 5) = 0

set each factor = 0:
x+9 = 0
x+5 = 0

solve.