Question

8x2 + 5x - 4 = 2x2 – 8x + 1​

Answer 1

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8x^2 + 5x - 4 = 2x^2 - 8x + 1

Move everything on the right side to the left by using inverse ops

6x^2 + 13x - 5 = 0

Use the quadratic answer to get your answers of:

x = $\frac{-6+\sqrt{66} }{6}$ , x = $\frac{-6-\sqrt{66} }{6}$

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Answer 2

Answer:

$x = - \frac{5}{3} \: \: \: \: \: \: \: x = - \frac{1}{2}$

Step-by-step explanation:

$8x {}^{2} + 5x - 4 = 2x {}^{2} - 8x + 1 \\ 8x {}^{2} - 2x {}^{2} + 5x + 8x = 4 + 1 \\ 6x {}^{2} + 13x = 5$

now splitting

$6x {}^{2} + 13x - 5 = 0 \\ 6x {}^{2} + 3x + 10x - 5 = 0 \\ 3x(2x + 1) + 5(2x + 1) = 0 \\ (3x + 5)(2x + 1) \\ x = - \frac{5}{3} \: \: \: \: \: \: \: x = - \frac{1}{2}$