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Bot GPT 3.5 To solve the equation `x^2 + 7x - 30 = 0` by factoring, we need to find two numbers that multiply to -30 and add to 7.
The two numbers that satisfy these conditions are 10 and -3. This is because 10 * (-3) = -30 and 10 + (-3) = 7.
So, the equation can be factored as:
(x + 10)(x - 3) = 0
Setting each factor equal to zero, we have:
x + 10 = 0 or x - 3 = 0
Solving each equation individually, we find:
x = -10 or x = 3
Therefore, the solutions to the equation `x^2 + 7x - 30 = 0` are x = -10 and x = 3.