Question

(4x – 8)(3x + 9) = 0​

Answer 1

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=2,\:x=-3$

Step-by-step explanation:

Considering the equation

                         $\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0$

solving the equation

$\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$\mathrm{Solve\:}\:4x-8=0$

$4x-8=0$

$4x-8+8=0+8$

$4x=8$

$x=2$

$\mathrm{Solve\:}\:3x+9=0$

$3x+9=0$

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

$3x=-9$

$x=-3$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=2,\:x=-3$