Solve x^2 - 2x/4 = 1/4 x/2

Evaluate

x^{2} - (2 \times \frac{x}{4}) = \frac{1}{4} \times \frac{x}{2}

Multiply the terms

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x^{2} - \frac{x}{2} = \frac{1}{4} \times \frac{x}{2}

Multiply the terms

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x^{2} - \frac{x}{2} = \frac{x}{8}

Multiply both sides of the equation by LCD

(x^{2} - \frac{x}{2}) \times 8 = \frac{x}{8} \times 8

Simplify the equation

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8 x^{2} - 4 x = \frac{x}{8} \times 8

Simplify the equation

8 x^{2} - 4 x = x

Move the expression to the left side

8 x^{2} - 4 x - x = 0

Subtract the terms

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8 x^{2} - 5 x = 0

Factor the expression

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x (8 x - 5) = 0

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

x = 0 8 x - 5 = 0

Solve the equation for x

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x = 0 x = \frac{5}{8}

Solution

x_{1} = 0, x_{2} = \frac{5}{8}

Alternative Form

x_{1} = 0, x_{2} = 0.625

Solve the equation