Solve c c/13 = 18c

Evaluate

c \times \frac{c}{13} = 18 c

Multiply the terms

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\frac{c ^{2}}{13} = 18 c

Multiply both sides of the equation by LCD

\frac{c ^{2}}{13} \times 13 = 18 c \times 13

Simplify the equation

c^{2} = 18 c \times 13

Simplify the equation

c^{2} = 234 c

Move the expression to the left side

c^{2} - 234 c = 0

Factor the expression

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c (c - 234) = 0

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

c - 234 = 0 c = 0

Solve the equation for c

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c = 234 c = 0

Solution

c_{1} = 0, c_{2} = 234

Solve the quadratic equation