Question

Solve the equation by factoring. x2 + 6x – 27 = 0

Answer 1

Answer:

(x+3)(x-9)

Step-by-step explanation:

x^2 -9x +3x -27 (add like terms) x^2+6x -27=0

Answer 2

Answer:

x = -9 or x = 3

Step-by-step explanation:

Given :

$x^{2} +6x -27 = 0$

solving by factoring , we have to look for two factors that will be multiplied together to give $-27x^{2}$ and add to give $6x$.

The factors are :

$9x$ and $-3x$

check:

$9x$ x$-3x = -27x^{2}$

$-3x + 9x = 6x$

The next thing is to replace $6x$ in the main equation with the two factors , the equation then becomes :

$x^{2} +9x -3x - 27 = 0$

$x(x+9)-3(x+9) = 0$

$(x+9)(x-3) = 0$

either $x + 9 = 0$  or $x - 3 = 0$

Therefore :

$x = -9$  or $x = 3$