Question

What are the solutions to the equation?
x2 + 6x = 40
x= -10 and x = 4
x=-8 and x = 5
x= -5 and x = 8
x= -4 and x = 10

Answer 1

$\text{Hey there!}$

$\mathsf{x^2+6x=40}\\\mathsf{SUBTRACT\ 40\ on\ your\ sides}\\\mathsf{x^2+6x-40=40-40}\\\mathsf{CANCEL\ out: 40-40\ because\ it\ gives\ you\ 0}\\\mathsf{New\ equation: x^2+6x-40=0}\\\mathsf{FACTO\ | OUT\ side\ of the\ equation}$

$\mathsf{(x-4)=0}\\\mathsf{(x+10)=0}\\\mathsf{=(x-4)(x+10)=0}\\\mathsf{ANSWER\ those\ above\ and\ you\ will\ find\ your\ x-values}\\\\\\\boxed{\boxed{\mathsf{This\ your\ answer\ is: \boxed{\mathsf{\bf{x=4\ and\ x=}-10}}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

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