Solve the equation by factoring: x^2 + 13x = -42Show your work and check your answer.

Accepted Solution

Answer:x=-6, -7Step-by-step explanation:x^2+13x=-42x^2+13x-(-42)=0x^2+13x+42=0factor out the trinomial,find two numbers that when they multiply,you get the third term, which is 42 in this case.And when you add them, you get the second term, which is 13 in this case.(x+6)(x+7)=0zero propertyx+6=0, x+7=0,x=0-6=-6x=0-7=-7