Solve 12(6x^24)=102x

Evaluate

12 (6 x^{2} \times 4) = 102 x

Remove the parentheses

12 \times 6 x^{2} \times 4 = 102 x

Multiply the terms

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288 x^{2} = 102 x

Move the expression to the left side

288 x^{2} - 102 x = 0

Factor the expression

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6 x (48 x - 17) = 0

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

48 x - 17 = 0 6 x = 0

Solve the equation for x

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x = \frac{17}{48} 6 x = 0

Solve the equation for x

x = \frac{17}{48} x = 0

Solution

x_{1} = 0, x_{2} = \frac{17}{48}

Alternative Form

x_{1} = 0, x_{2} = 0.3541 \dot{6}

Solve the quadratic equation