Solve 5 (x^2) - x^2 = x(3-x)

Evaluate

5 x^{2} - x^{2} = x (3 - x)

Subtract the terms

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4 x^{2} = x (3 - x)

Expand the expression

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4 x^{2} = 3 x - x^{2}

Move the expression to the left side

5 x^{2} - 3 x = 0

Factor the expression

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x (5 x - 3) = 0

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

5 x - 3 = 0 x = 0

Solve the equation for x

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x = \frac{3}{5} x = 0

Solution

x_{1} = 0, x_{2} = \frac{3}{5}

Alternative Form

x_{1} = 0, x_{2} = 0.6

Solve the quadratic equation