Solve 13c=5(1-c) 8c

Evaluate

13 c = 5 (1 - c) \times 8 c

Multiply

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13 c = 40 c (1 - c)

Swap the sides

40 c (1 - c) = 13 c

Expand the expression

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40 c - 40 c^{2} = 13 c

Move the expression to the left side

27 c - 40 c^{2} = 0

Factor the expression

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c (27 - 40 c) = 0

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

27 - 40 c = 0 c = 0

Solve the equation for c

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c = \frac{27}{40} c = 0

Solution

c_{1} = 0, c_{2} = \frac{27}{40}

Alternative Form

c_{1} = 0, c_{2} = 0.675

Solve the quadratic equation