Answer :
Answer:
[tex]x=6, x=-4[/tex]
Step-by-step explanation:
1) Let's solve this quadratic equation by factorizing. We need to find two numbers that multiply to -24 and add up to -2 simultaneously. If we pull out the factors of -24, two of them will be -6 and 4, which multiply to -24 as well as add up to -2.
3) Write [tex]-2x[/tex] as a sum.
[tex]x^2-6x+4x-24=0[/tex]
Now, we can factor them out by grouping.
[tex]x^2-6x+4x-24=0\\x(x-6) + 4(x-6)=0[/tex]
Since, [tex]x -6[/tex] is common in both of the factors, we only take one of the [tex]x -6[/tex] along with [tex]x[/tex] and [tex]4[/tex] and all equated to 0.
[tex](x-6)(x+4) = 0[/tex]
Solve for x: [tex]x-6=0[/tex]
[tex]x=0+6\\x=6[/tex]
Solve for x: [tex]x+4=0[/tex]
[tex]x=0-4\\x=-4[/tex]
Therefore, our solutions to this quadratic equation are [tex]x=6, x=-4[/tex].