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Solve for all values of xx by factoring.x, squared, minus, 81, equals, 0x 2 −81=0

Question

Solve for all values of xx by factoring.x, squared, minus, 81, equals, 0x 2 −81=0

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Solution

Sure, here are the steps to solve the equation:

  1. Write down the equation: x^2 - 81 = 0

  2. Notice that this is a difference of squares, which can be factored into (x - 9)(x + 9).

  3. Set each factor equal to zero and solve for x:

    x - 9 = 0 => x = 9

    x + 9 = 0 => x = -9

So, the solutions to the equation x^2 - 81 = 0 are x = 9 and x = -9.

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