You are watching: What are the solutions of the equation 4x2 + 3x = 24 – x?
Answer: x = 2 or x = - 3. Rearrange every nonzero state to the left next of the equation: 4 x2 + 3 x - 24 + x = 0Combine like te
Rearrange every nonzero terms to the left next of the equation: 4 x^2 + 3 x - 24 + x = 0Combine favor terms: 4 x^2 + 4 x - 24 = 0Find 2 integers: eginequationegincases- 8 + 12 = 4\- 8 imes 12 = 4 imes (- 24)endcasesendequationRewrite the center term: 4 x^2 - 8 x + 12 x - 24 = 0Factor the first two terms and the last two terms respectively: 4 x (x - 2) + 12 (x - 2) = 0Extract the typical factor: 4 (x - 2) (x + 3) = 0Apply zero product home that at the very least one element is zero: x - 2 = 0 or x + 3 = 0Rearrange unknown state to the left next of the equation: x = 2Rearrange unknown state to the left side of the equation: x = - 3Find the union that the solutions: x = 2 or x = - 3Answer: x = 2 or x = - 3
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