Solve 10(2 - x) 11x = -3x

Evaluate

10 (2 - x) \times 11 x = - 3 x

Multiply

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110 x (2 - x) = - 3 x

Expand the expression

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220 x - 110 x^{2} = - 3 x

Move the expression to the left side

223 x - 110 x^{2} = 0

Factor the expression

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x (223 - 110 x) = 0

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

223 - 110 x = 0 x = 0

Solve the equation for x

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x = \frac{223}{110} x = 0

Solution

x_{1} = 0, x_{2} = \frac{223}{110}

Alternative Form

x_{1} = 0, x_{2} = 2.0 \dot{2} \dot{7}

Solve the quadratic equation