To make this easier, rewrite the equation in descending order:
[tex] x^{2} + 5x = 36[/tex]
Then, move everything to one side by subtracting 36 from either side[tex] x^{2} +5x-36=0[/tex]
Next, factor the equation into two binomials:
[tex](x+9)(x-4)=0[/tex]
Then, split the two binomials and set them both equal to zero.
[tex]x+9=0;x-4=0 [/tex]
Then, simply, solve for x by isolating it:
[tex](x+9)-9=0-9;(x-4)+4=0+4 \\ x=-9;x=4[/tex]
Your two answers are x=-9 and x=4
If you're interested, you can check both answers by plugging them into the equation.
Hope this helps!
