Which is a solution to (x – 3)(x + 9) = -27?
x = 0
Which is a solution to (x – 3)(x + 9) = -27?
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Which is a solution to (x – 3)(x + 9) = -27?
x = 0
To solve the equation ( (x – 3)(x + 9) = -27 ), we can first rewrite it as:
[
(x – 3)(x + 9) + 27 = 0
]
Next, let’s expand the left-hand side:
[
x^2 + 9x – 3x – 27 + 27 = 0
]
Simplifying this gives us:
[
x^2 + 6x = 0
]
Now, we can factor out an (x):
[
x(x + 6) = 0
]
Setting each factor to zero gives us the solutions:
1. (x = 0)
2. (x + 6 = 0 Rightarrow x = -6)
Thus, the solutions to the equation are (x = 0) and (x = -6).
Since (x = 0) is a solution, it is verified. For further assistance and more detailed explanations, feel free to check our extended services page!