Solve x:-7618x=1/2x

Evaluate

x \div (- 7618) x = \frac{1}{2} x

Simplify

More Steps

- \frac{x ^{2}}{7618} = \frac{1}{2} x

Multiply both sides of the equation by LCD

- \frac{x ^{2}}{7618} \times 7618 = \frac{1}{2} x \times 7618

Simplify the equation

- x^{2} = \frac{1}{2} x \times 7618

Simplify the equation

More Steps

- x^{2} = 3809 x

Move the expression to the left side

- x^{2} - 3809 x = 0

Factor the expression

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- x (x + 3809) = 0

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

- x = 0 x + 3809 = 0

Solve the equation for x

x = 0 x + 3809 = 0

Solve the equation for x

More Steps

x = 0 x = - 3809

Solution

x_{1} = - 3809, x_{2} = 0

Solve the quadratic equation