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
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:
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Identify the coefficients of the quadratic equation. In this case, a = 5, b = 12, and c = 4.
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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.
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Rewrite the middle term (bx) as the sum of the terms 10x and 2x. This gives us 5x^2 + 10x + 2x + 4.
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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).
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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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