x^2+2x=24 slove the equation?

x² + 2x = 24
x² + 2x – 24 = 0
x² + 6x – 4x – 24 = 0
x(x + 6) – 4(x + 6) = 0
(x + 6)(x – 4) = 0
(x + 6) = 0 or (x – 4) = 0
x = – 6 or x = 4
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x^2 + 2x - 24 = 0

( x + 6 ) ( x - 4 ) = 0

x = - 6 , x = 4

Equation has been s o l v e d

think of of those styles of math question in distinctive words. as an occasion in the 1st question... 5h+2-h=22 the 1st difficulty yo desire to do is combine tems that are alike. so we could merely rearrange what you have already got. 5h-h+2=22 next in case you desire to go an merchandise on the different component of the = sign the object adjustments warning signs. So if the object have been -3 it turns into +3 on the different component and no remember if it particularly is +3 then it turns into -3. So.... 5h-h=22-2 next we would desire to combine some extra.... while coping with factors like 5x, 5xy, 5anything, merely say to your self... I easily have 5 h's minus a million h So... 4h=20 the final step in this technique, is calling your self the question, "4 prolonged by what quantity equals 20???" If the question is extra not trouble-free like 32h=224, then we can use the long hand technique. What you do in eiher case is the comparable, yet one in each of them we can do in our head. to verify what h is we attempt to get h all on its very own on one component of the = sign. we try this by deviding the two facets of the equation by the comparable quantity. we would desire to decide for a quantity which will make the 4 go away. once you devide any quantity on its very own the respond is usually a million. So...... 4h/4 = 20/4 SO..... h=5

6^2 + 2(6) = 24
12 + 12 = 24
x=6

x^2 + 2x = 24
x^2 + 2x - 24 = 0
x^2 + 6x - 4x - 24 = 0
(x^2 + 6x) - (4x + 24) = 0
x(x + 6) - 4(x + 6) = 0
(x + 6)(x - 4) = 0

x + 6 = 0
x = -6

x - 4 = 0
x = 4

∴ x = -6, 4

x=4

x= -2, and 4