Math Project

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  • Mom! I need help, I don't understand this math question. It's so frustrating, and I've already tried so many times!
  • 3x² - 30x + 8 = -40
  • Solving Quadratic Equations by Factoring Try this:
  • Here's the question I don't understand. Could you please explain it to me?
  • I sure can!
  • 3x² - 30x + 8 = -40
  • The first thing you need to know is that when it is telling you to solve, it means to find the value of the exponent - in this case, the value of "x"
  • 3x² - 30x + 8 = -40 3x² - 30x + 8 +40 = 0 3x² - 30x +48 = 0
  • The first step is to set one side to 0. So in this case, you would bring the -40 over, and when you bring it over the equal sign you switch the sign to make it +40. Then you can collect like terms.
  • 3x² - 30x + 8 = -40 3x² - 30x + 8 + 40 = 0 3x² - 30x +48 = 0 3(x² - 10x +16) = 0 3(x-8)(x-2) = 0
  • The second step is to factor, which I know you are good at!
  • 3x² - 30x + 8 = -40 3x² - 30x + 8 + 40 = 0 3x² - 30x +48 = 0 3(x² - 10x +16) = 0 3(x-8)(x-2) = 0
  • Next, you use "cases" to solve for x. I'll show you how to do that.
  • Case 1: 3(x-8)(x-2) = 0 3(x-2) x-8 = 0 x = 8
  • Case 2: 3(x-8)(x-2) = 0 (x-8)(x-2) 3 = 0 DNE (does not exist)
  • Case 3: 3(x-8)(x-2) = 0 3(x-8) x-2 = 0 x = 2
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