Question

6. Solve for x: x2 + 5x - (a2 + a - 6) = 0​

Answer 1

✪ANSWER✪

$x = - (a + 3) \: or \: (a - 2)$

★EXPLAINATION★

${x}^{2} + 5x - ( {a}^{2} + a - 6) = 0$

${x}^{2} + 5x - ( {a}^{2} + 3a - 2a - 6) = 0$

${x}^{2} + 5x - a(a + 3) + 2(a + 3) = 0$

${x}^{2} + 5x - (a + 3)(a - 2) = 0$

${x}^{2} + (a + 3)x - (a - 2)x - (a + 3)(a - 2) = 0$

$x(x + a + 3) - (a - 2)(x + a + 3) = 0$

$(x + a + 3)(x - a + 2) = 0$

$x = - (a + 3) \: or \: (a - 2)$