Im assuming you mean x2 (x squared). This equation will be a quadratic.
so...
x2+144=-24x subtract -24x from itself and the other side
-24x -24x
-----------------
x2-24x+144=0 now break it down even further
(x-12)(x-12)=0 Now you solve the "mini-equations"
x-12=0 x-12=0
+12 +12 +12 +12
---------------------------
x=12 or x=12
hope it helps!!!
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(x^2) + 24x + 144 = -9 x = -12
x=-.25.
x2 + 24x +180 = 0 By using the quadratic equation, you can find that x = -12 + 6i or x = -12 - 6i
4x-7=24x=9 x=9/4
X^2 + 24X = 50 you halve the linear term, square it and add it to both sides X^2 + 24X + 144 = 50 + 144 factor the left side; gather terms on the right (X + 12)^2 = 194 (X + 12)^2 - 194 = 0 so, either 144 is your number, or 194 is. Sounds as a silly question to me as you complete the square to get the vertex of the polynomial. Which is; (12,- 194) = wrong!! Woops! Wrong! Made fudemental mistake! [ (- 12 + 12 ) = 0!! ] So, the vertex is; (- 12, - 194 )