Solve for c 3cmarea=39cm^2Ccm

$3 cm a r e a = 39 {cm}^{2} C cm$

Since $c$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$39 c m^{2} C c m = 3 c m a r e a$

Simplify $39 c m^{2} C c m$ .

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Multiply $c$ by $c$ by adding the exponents.

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Move $c$ .

$39 (c \cdot c) m^{2} C m = 3 c m a r e a$

Multiply $c$ by $c$ .

$39 c^{2} m^{2} C m = 3 c m a r e a$

Multiply $m^{2}$ by $m$ by adding the exponents.

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Move $m$ .

$39 c^{2} (m \cdot m^{2}) C = 3 c m a r e a$

Multiply $m$ by $m^{2}$ .

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Raise $m$ to the power of $1$ .

$39 c^{2} (m^{1} m^{2}) C = 3 c m a r e a$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$39 c^{2} m^{1 + 2} C = 3 c m a r e a$

Add $1$ and $2$ .

$39 c^{2} m^{3} C = 3 c m a r e a$

Multiply $a$ by $a$ by adding the exponents.

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Move $a$ .

$39 c^{2} m^{3} C = 3 c m (a \cdot a) r e$

Multiply $a$ by $a$ .

$39 c^{2} m^{3} C = 3 c m a^{2} r e$

Subtract $3 c m a^{2} r e$ from both sides of the equation.

$39 c^{2} m^{3} C - 3 c m a^{2} r e = 0$

Solve for c 3cmarea=39cm^2Ccm