Question 855743
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Equation can be written as:

{{{a^2 - 8*a + 7 = 0}}}

Solving using factorization

{{{a^2 - 7*a - a + 7 = 0}}}
{{{a*(a - 7) -1*(a - 7) = 0}}}
{{{(a - 7)*(a - 1) = 0}}}
Solutions are: {{{highlight(a = 7)}}} and {{{highlight(a = 1)}}}

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