Solve a Quadratic Congruence Equation

This video discusses how to solve a system of quadratic congruences for the variable x.
The question is 2x^2+7x+=04 for modulus of any prime number.
First issue is that when finding the square, we need to make the b coefficient even, so we get an integer when dividing by 2.
Next issue is to find the square of the quadratic function with the 2 as a factor. Then we get the coefficient to correct the equation after finding the square needs to be multiplied by 2 as well and subtracting from the c value.
RHS needs to be a square value so when we take the square root, we have an integer. Take the square root on both sides to reveal a plus and minus value for the RHS. This reveals 2 solutions which will lead us to infinite many solutions.
This is our solution
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