Question 989747
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Let me re-formulate your question in this form:


Solve the system of two equations


{{{system (y =  -2x^2 + 12x + 2,
y = x^2 -1)}}}.


Is this correct re-formulation?
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If so,  then the right sides of these equations are the same  (because left sides are identical),  and you can write


{{{x^2 -1}}} = {{{-2x^2 + 12x + 2}}}. 


It is a quadratic equation. 


Can you solve it?