Solve 121 (7x-10) 21 x=3x

Evaluate

121 (7 x - 10) \times 21 x = 3 x

Multiply

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2541 x (7 x - 10) = 3 x

Expand the expression

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17787 x^{2} - 25410 x = 3 x

Move the expression to the left side

17787 x^{2} - 25413 x = 0

Factor the expression

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3 x (5929 x - 8471) = 0

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

5929 x - 8471 = 0 3 x = 0

Solve the equation for x

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x = \frac{8471}{5929} 3 x = 0

Solve the equation for x

x = \frac{8471}{5929} x = 0

Solution

x_{1} = 0, x_{2} = \frac{8471}{5929}

Alternative Form

x_{1} = 0, x_{2} \approx 1.42874

Solve the quadratic equation