Question

13. Solve using formula: 6x2 = 3 - 7x​

Answer 1

Answer:

12=3-7x

12-3=-7x

9=7x

x=7/9

Answer 2

$6x {}^{2} = 3 - 7x \\ 6 {x}^{2} + 7x - 3 = 0 \\ 6 {x}^{2} + 9x - 2x - 3 = 0 \\ 3x(2x + 3) - 1(2x + 3) = \\( 3x - 1)(2x + 3) = 0$

$3x - 1 = 0 \\ 3x = 1 \\ x = \frac{1}{3}$

$2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2}$

Answer 3

$6x {}^{2} = 3 - 7x \\ 6 {x}^{2} + 7x - 3 = 0 \\ 6 {x}^{2} + 9x - 2x - 3 = 0 \\ 3x(2x + 3) - 1(2x + 3) = \\( 3x - 1)(2x + 3) = 0$

$3x - 1 = 0 \\ 3x = 1 \\ x = \frac{1}{3}$

$2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2}$