Respuesta :

lowks5
X is equal to -2
Hope this helps


Answer:

The solutions are [tex]x=2,\:x=-6[/tex]

Step-by-step explanation:

To solve for [tex]x[/tex] the equation [tex]x^2+4x-4=8[/tex] you must:

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\\\x^2+4x-4-8=8-8\\\\x^2+4x-12=0[/tex]

[tex]\mathrm{Factor\:}x^2+4x-12\\\\\mathrm{Break\:the\:expression\:into\:groups}\\\\\left(x^2-2x\right)+\left(6x-12\right)\\\\x\left(x-2\right)+6\left(x-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x-2\\\\x\left(x-2\right)+6\left(x-2\right)[/tex]

Using the Principle of Zero Products.

If ab = 0, then either a = 0 or b = 0, or both a and b are 0.

[tex]x-2=0\\x=2[/tex]

[tex]x+6=0\\x=-6[/tex]

The solutions are [tex]x=2,\:x=-6[/tex].