Question

question
solve for all values of x by factoring.
x² + 6x = -3x

Explanation:

Step1: Move all terms to left side

$x^2 + 6x + 3x = 0$

Step2: Combine like terms

$x^2 + 9x = 0$

Step3: Factor out common term $x$

$x(x + 9) = 0$

Step4: Set each factor to 0

$x = 0$ or $x + 9 = 0$

Step5: Solve for $x$

$x = 0$ or $x = -9$

Answer:

$x = 0$ and $x = -9$