Which is a solution to (x - 3)(x + 9) = -27?
x = - 9, x = - 3, x = 0, x = 6

Solution:

Given:

Equation is (x - 3)(x + 9) = -27

On solving we get,

⇒ x² + 9x - 3x - 27 = -27

⇒ x² + 6x = 0

⇒ x(x + 6) = 0

⇒ x = 0 and x + 6 = 0

⇒ x = 0 and x = -6

We can understand by the given example below:

Example:

What is the solution of m² - 9 = 0?

Given equation is m² - 9 = 0

⇒ m² = 9

⇒ Applying square root on both sides

⇒ √m² = √9

⇒ m = √(3)(3)

⇒ m = ±3

⇒ m = 3 and m = -3

⇒ The factors are (m - 3) and (m + 3)

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Which is a solution to (x - 3)(x + 9) = - 27?

Summary:

The solution to the equation (x - 3)(x + 9) = -27 is x = 0 and x = -6.