Solve for all values of xx by factoring.x, squared, plus, 8, x, minus, 24, equals, 3, xx 2 +8x−24=3x
Question
Solve for all values of x by factoring.
Solution
Sure, let's solve the equation step by step:
- First, rewrite the equation: x^2 + 8x - 24 = 3x
- Then, rearrange the equation to bring all terms to one side: x^2 + 8x - 3x - 24 = 0
- Simplify the equation: x^2 + 5x - 24 = 0
- Now, factor the quadratic equation: (x - 3)(x + 8) = 0
- Set each factor equal to zero and solve for x: x - 3 = 0 or x + 8 = 0
- Solving these gives: x = 3 or x = -8
So, the solutions to the equation x^2 + 8x - 24 = 3x are x = 3 and x = -8.
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