Answer
$x = \frac{-1±\sqrt {57}}{2}$
Work Step by Step
$(x+5)(x-4) = -6$
$x(x-4) + 5(x-4) + 6 = 0$
$x^{2} - 4x + 5x - 20 + 6 = 0$
$x^{2} + x - 14 = 0$
$x = \frac{-(1)±\sqrt {1^{2}-4(1)(-14)}}{2(1)}$
$x = \frac{-1±\sqrt {1+56}}{2}$
$x = \frac{-1±\sqrt {57}}{2}$
Check:
When $x = \frac{-1+\sqrt {57}}{2}$
$((\frac{-1+\sqrt {57}}{2})+5)((\frac{-1+\sqrt {57}}{2})-4) = -6$
$(8.2749...)(-0.72508...) = -6$
$-6 = -6$
When $x = \frac{-1-\sqrt {57}}{2}$
$((\frac{-1-\sqrt {57}}{2})+5)((\frac{-1-\sqrt {57}}{2})-4) = -6$
$(0.725...)(-8.2749...) = -6$
$-6 = -6$
