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Math Help - Solving exponential functions

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    Post Solving exponential functions

    (-7x^2)(6^x)-10x6^x=0
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    Hello !

    Quote Originally Posted by Arrazolo2007 View Post
    (-7x^2)(6^x)-10x6^x=0
    (-7x^2)({\color{red}6^x})-(10x)({\color{red}6^x})=0

    Factorising :

    0=({\color{red}6^x})(-7x^2-10x)

    A product of factors is equal to 0 if and only if one of its factors is equal to 0, that is to say that if you have ab=0, then a=0 or b=0. But 6^x \neq 0 \quad \text{for all x.}

    Therefore, \dots=0
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