The solutions to the given equation are x = -6 and x = 1.
From the question, we are to determine the solutions to the given equation
The given equation is
4x² + 20x + 25 = 49
Rearranging
4x² + 20x + 25 -49 = 0
4x² + 20x -24 = 0
Solving
4x² -4x + 24x -24 = 0
4x(x -1) +24(x -1) = 0
(4x +24)(x - 1) = 0
4x + 24 = 0 OR x -1 = 0
4x = -24 OR x = 1
x = -24/4 OR x = 1
x = -6 OR x = 1
Hence, the solutions to the given equation are x = -6 and x = 1.
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