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Factor completely.5, x, squared, plus, 12, x, plus, 45x 2 +12x+4

Question

Factor completely.5, x, squared, plus, 12, x, plus, 45x 2 +12x+4

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Solution

The expression you provided seems to be a bit confusing. However, if you're asking to factor the quadratic equation 5x^2 + 12x + 4, here are the steps:

  1. Identify the coefficients of the quadratic equation. In this case, a = 5, b = 12, and c = 4.

  2. Find two numbers that multiply to give ac (a times c), and add to give b. In this case, ac = 5*4 = 20, and you need two numbers that multiply to 20 and add to 12. These numbers are 10 and 2.

  3. Rewrite the middle term (bx) as the sum of the terms 10x and 2x. This gives us 5x^2 + 10x + 2x + 4.

  4. Factor by grouping. The first two terms can be factored as 5x(x + 2), and the last two terms can be factored as 2(x + 2).

  5. Since the terms in parentheses are the same, you can factor out an (x + 2), giving you (5x + 2)(x + 2) as the completely factored form of the equation.

Please check your equation and try again if there's a mistake in the equation you provided.

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