Answer:
The values of x are -5 and - 7
Explanation:
x^2 + 12x = -35
Equate to zero
x^2 + 12x + 35 = 0
Finding the factors that will be multiplied to give +35x^2 and added to give +12x
Use + 7 and + 5
Substitute 7x + 5x for 12x in the equation
x^2 + 7x + 5x + 35 = 0
Separate using brackets
( x^2 + 7x) + ( 5x + 35) = 0
x( x + 7) + 5(x + 7) = 0
( x + 5)(x + 7) = 0
Equating each bracket to zero
( x + 5) = 0
x + 5 = 0
x = -5
( x + 7) = 0
x + 7 = 0
x = -7
The values of x are -5 and - 7