Question

factoring method:
4x^2 - 12x + 9 = 0

Answer 1

4x^2-12x+9=0
so we can't do this by perfect square, so we'll have to do this normally.
4x^2-12x+9
what are two numbers that equal to ac (=36) when multiplied and those same 2 numbers that equal to b (=12) when added?
the numbers are -6 and -6. so now we expand the middle.
4x^2-6x-6x+9
factor by grouping.
2x(2x-3)-3(2x-3)
(2x-3)(2x-3)
=(2x-3)^2.