Answer:
This equation has two roots. We know this because of the format it is in. Any expression in the form ax² + bx + c is a quadratic one, which describes a parabola and has two roots.
In this case, the roots are -1 and 0.
Step-by-step explanation:
Let's see if we can find those values:
-6x² - 6x + 7 = 7
-6x² - 6x = 0
x² + x = 0
x(x + 1) = 0
x = -1, 0
We could also run through solving this by completing the square:
-6x² - 6x + 7 = 7
-6x² - 6x = 0
x² + x = 0
x² + x + 0.25 = 0.25
(x + .5)² = 0.25
x + .5 = ±√0.25
x + .5 = ± 0.5
x = -0.5 ± 0.5
x = -1, 0
