Solve 10( 1/3 x-1) 2/3 x=-2x

Evaluate

10 (\frac{1}{3} x - 1) \times \frac{2}{3} x = - 2 x

Multiply

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\frac{20}{3} x (\frac{1}{3} x - 1) = - 2 x

Expand the expression

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\frac{20}{9} x^{2} - \frac{20}{3} x = - 2 x

Move the expression to the left side

\frac{20}{9} x^{2} - \frac{14}{3} x = 0

Factor the expression

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\frac{2}{9} x (10 x - 21) = 0

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

10 x - 21 = 0 \frac{2}{9} x = 0

Solve the equation for x

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x = \frac{21}{10} \frac{2}{9} x = 0

Solve the equation for x

x = \frac{21}{10} x = 0

Solution

x_{1} = 0, x_{2} = \frac{21}{10}

Alternative Form

x_{1} = 0, x_{2} = 2.1

Solve the quadratic equation