Question

solve for x



625x^2+125000x = 1590000

Answer 1

this is the answer of your question please mark it brainliest answer.
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Answer 2

Answer :


$given \: equation \: = {625x}^{2} + 125000x = 1590000 \\ \\ = > \: firstly \: divide \: both \: sides \: of \: the \: equation \: by \: 625 \\ \\ = > \: we \: get \: - - \\ \\ = > \: {x}^{2} + 200x = 2544 \\ \\ = > \: now \: move \: the \: constant \: to \: the \: left \: side \: \\ \\ = > \: {x}^{2} + 200x - 2544 = 0 \\ \\ = > \: write \: 200x \: as \: sum \\ \\ = > \: {x}^{2} - 12x + 212x - 2544 = 0 \\ \\ = > \: factor \: out \: x \: and \: 212 \: from \: the \: expression \\ \\ = > \: x(x - 12) + 212(x - 12) = 0 \\ \\ = > \: factor \: out \: x - 12 \: from \: the \: expression \\ \\ = > \: (x - 12)( x + 212) = 0 \\ \\ = > \: \binom{x - 12 = 0}{x + 212 = 0} \\ \\ = > \: \binom{x = 12}{x = - 212} \\ \\ the \: final \: solutions \: are \: \\ \\ = > \: x1 = 12 \: \: and \: \: x2 = - 212$


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