Solve 5(2x 1)=3x 92(x-4)

Evaluate

5 (2 x \times 1) = 3 x \times 92 (x - 4)

Remove the parentheses

5 \times 2 x \times 1 = 3 x \times 92 (x - 4)

Multiply the terms

More Steps

10 x = 3 x \times 92 (x - 4)

Multiply the terms

10 x = 276 x (x - 4)

Swap the sides

276 x (x - 4) = 10 x

Expand the expression

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276 x^{2} - 1104 x = 10 x

Move the expression to the left side

276 x^{2} - 1114 x = 0

Factor the expression

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2 x (138 x - 557) = 0

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

138 x - 557 = 0 2 x = 0

Solve the equation for x

More Steps

x = \frac{557}{138} 2 x = 0

Solve the equation for x

x = \frac{557}{138} x = 0

Solution

x_{1} = 0, x_{2} = \frac{557}{138}

Alternative Form

x_{1} = 0, x_{2} \approx 4.036232

Solve the quadratic equation