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Solve for all values of xx by factoring.x, squared, minus, 6, x, equals, 2, xx 2 −6x=2x

Question

Solve for all values of xx by factoring.

x^2 - 6x = 2x

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Solution

Sure, let's solve the equation step by step:

  1. First, let's rewrite the equation: x^2 - 6x = 2x

  2. Then, let's move all terms to one side of the equation: x^2 - 6x - 2x = 0

  3. Simplify the equation: x^2 - 8x = 0

  4. Now, let's factor the equation: x(x - 8) = 0

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

    x = 0 x - 8 = 0, so x = 8

So, the solutions to the equation are x = 0 and x = 8.

This problem has been solved

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[48] Given that x = – 2 is a solution to 𝑥2+𝑏𝑥–6=0,x 2 +bx–6=0, which of the following polynomials is a factor of 𝑥2+𝑏𝑥–6?x 2 +bx–6?

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