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Addition and Subtraction of Algebraic Expression

Solve : 3x5x...

Question

Solve :
$3 x (5 x - 2) = - 4 x + 1$

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Solution

$3 x (5 x - 2) = - 4 x + 1$
$15 x^{2} - 6 x = - 4 x + 1$
$15 x^{2} - 2 x - 1 = 0$
$15 x^{2} - 5 x + 3 x - 1 = 0$
$5 x (3 x - 1) + 1 (3 x - 1) = 0$
$(3 x - 1) (5 x + 1) = 0$
$x = \frac{1}{3}, \frac{- 1}{5}$

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