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Solve this proportion... what is the value of x?
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\[\frac{ x }{ x ^{2} - 2 } = \frac{ 2 }{ 3x + 4 }\]
@jim_thompson5910
@campbell_st
\[\large \frac{ x }{ x ^{2} - 2 } = \frac{ 2 }{ 3x + 4 }\] \[\large x(3x + 4) = 2(x ^{2} - 2)\] \[\large 3x^2 + 4x = 2x^{2} - 4\] \[\large 3x^2 + 4x - 2x^{2} + 4 = 0\] \[\large x^2 + 4x + 4 = 0\] \[\large (x+2)^2 = 0\] \[\large x = ?\]
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