Solve 1/2x 1/2x=x 1

Evaluate

\frac{1}{2} x \times \frac{1}{2} x = x \times 1

Multiply

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

Any expression multiplied by 1 remains the same

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

Move the expression to the left side

\frac{1}{4} x^{2} - x = 0

Factor the expression

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\frac{1}{4} x (x - 4) = 0

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

x - 4 = 0 \frac{1}{4} x = 0

Solve the equation for x

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x = 4 \frac{1}{4} x = 0

Solve the equation for x

x = 4 x = 0

Solution

x_{1} = 0, x_{2} = 4

Solve the quadratic equation