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Bot GPT 3.5 To solve the equation M^2 + 8M + 7 = 0 by factoring, we need to find two numbers that multiply to 7 and add up to 8.
The numbers that satisfy these conditions are 1 and 7.
Therefore, we can rewrite the equation as:
M^2 + 1M + 7M + 7 = 0
M(M + 1) + 7(M + 1) = 0
(M + 1)(M + 7) = 0
Now, we can set each factor to zero and solve for M:
M + 1 = 0
M = -1
M + 7 = 0
M = -7
Therefore, the solutions to the equation M^2 + 8M + 7 = 0 are M = -1 and M = -7.