Question

Solve the following equation 3x2/ + x-6/4 = 2

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

$3 {x}^{2} + x - \frac{6}{4} = 2 \\ \frac{12 {x}^{2} + 4x - 6 }{4} = 2 \\ 2(6 {x}^{2} + 2x - 3) = 2 \times 4 \\ 6{x}^{2} + 2x - 3 = \frac{8}{2} \\ 6 {x}^{2} + 2x - 3 = 4 \\ 6 {x}^{2} + 2x = 3 + 4 \\ 6 {x}^{2} + 2x = 7 \\ 2x(3x + 1) = 7 \\ 2x = 7 \: or \: 3x + 1 = 7 \\ x = \frac{7}{2} or \: x = \frac{6}{3} = 2$