The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 which of the following is a step in solving this equation? a. take the square root of both sides b. subtract 25 from both sides c. square both sides d. divide both sides by 4

4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
  x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2

Step-by-step explanation:

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