How is factoring is used to solve quadratic equations?

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How is factoring is used to solve quadratic equations?

Mathematics
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when we factor quads, it tends to give us 2 equations to solve: (x+__)(x-___) right?
we know that zero times any number = 0
it leads to the zero product property that says if ab = 0 then either a = 0 or b =0, thus we can find solutions to the quadratic.

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so there are 2 possible solutions the left can be made zero OR the right can be made zero and both values will be a valid solution
thank you that makes sense
youre welcome :)

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