Solve (137x) (2x-41)=13x-(284x)

Evaluate

137 x (2 x - 41) = 13 x - 284 x

Subtract the terms

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137 x (2 x - 41) = - 271 x

Expand the expression

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274 x^{2} - 5617 x = - 271 x

Move the expression to the left side

274 x^{2} - 5346 x = 0

Factor the expression

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2 x (137 x - 2673) = 0

When the product of factors equals 0,at least one factor is 0

137 x - 2673 = 0 2 x = 0

Solve the equation for x

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x = \frac{2673}{137} 2 x = 0

Solve the equation for x

x = \frac{2673}{137} x = 0

Solution

x_{1} = 0, x_{2} = \frac{2673}{137}

Alternative Form

x_{1} = 0, x_{2} \approx 19.510949

Solve the quadratic equation