Book Maths Puzzle Quadratic Equations

What are the roots if in ractored form it is y=(2x-3)(3x+4)? what is the axis of symmetry?

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This is a basic question but I can seem to explain it. The Quadratic Equation term "b^2 -4ab" why do we change it to "b^2+ 4ab" when the "b" value is negative? Thanks annmrj@aol.com

EX: b^2-4ab (x^2-6x-27=0) = 6^2+4(1)(-27)=144
How do you find A and B in the equation 12 x^2 = 48 when directed to \"Solve by using the Quadratic Equation.\"?