SOLUTION: "Solve the equation" I want to understand step by step please. x^2 + 18x + 81 = 25

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Question 389948: "Solve the equation"
I want to understand step by step please.
x^2 + 18x + 81 = 25

Found 2 solutions by ewatrrr, scott8148:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Solving the equation
x^2 + 18x + 81 = 25
x^2 + 18x + 56 = 0
factoring
(x+14)(x+4)= 0 Note:SUM of the inner product(14*x) and the outer product(4x) =18
(x+14)=0 x = -14
(x+4)= 0 x = -4
If factoring does not occur to You, Quadratic formula always an alternative

x = -28/2 = -14
or x = -8/2 = -4 }}}
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
both sides of the equation are perfect squares ___ (x + 9)^2 = 25

taking square root (remember plus/minus roots) ___ x + 9 = ±5

x = -9 ± 5

x = -4 ___ AND ___ x = -14

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