X^2+12x=-35

Solve the quadratic by factoring

Step-by-step explanation:

x² + 12x = - 35

x² + 12x + 35 = 0

(x + 5) (x + 7) = 0

x = - 5 or - 7

The values of x are - 5 and - 7

Step-by-step 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