Solve for s s/2+3s=1/5

$\frac{s}{2} + 3 s = \frac{1}{5}$

Simplify $\frac{s}{2} + 3 s$ .

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To write $3 s$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{s}{2} + 3 s \cdot \frac{2}{2} = \frac{1}{5}$

Simplify terms.

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Combine $3 s$ and $\frac{2}{2}$ .

$\frac{s}{2} + \frac{3 s \cdot 2}{2} = \frac{1}{5}$

Combine the numerators over the common denominator.

$\frac{s + 3 s \cdot 2}{2} = \frac{1}{5}$

Simplify the numerator.

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Factor $s$ out of $s + 3 s \cdot 2$ .

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

$\frac{s^{1} + 3 s \cdot 2}{2} = \frac{1}{5}$

Factor $s$ out of $s^{1}$ .

$\frac{s \cdot 1 + 3 s \cdot 2}{2} = \frac{1}{5}$

Factor $s$ out of $3 s \cdot 2$ .

$\frac{s \cdot 1 + s (3 \cdot 2)}{2} = \frac{1}{5}$

Factor $s$ out of $s \cdot 1 + s (3 \cdot 2)$ .

$\frac{s (1 + 3 \cdot 2)}{2} = \frac{1}{5}$

Multiply $3$ by $2$ .

$\frac{s (1 + 6)}{2} = \frac{1}{5}$

Add $1$ and $6$ .

$\frac{s \cdot 7}{2} = \frac{1}{5}$

Move $7$ to the left of $s$ .

$\frac{7 s}{2} = \frac{1}{5}$

Multiply both sides of the equation by $\frac{2}{7}$ .

$\frac{2}{7} \cdot \frac{7 s}{2} = \frac{2}{7} \cdot \frac{1}{5}$

Simplify both sides of the equation.

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Simplify $\frac{2}{7} \cdot \frac{7 s}{2}$ .

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Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2}{7} \cdot \frac{7 s}{2} = \frac{2}{7} \cdot \frac{1}{5}$

Rewrite the expression.

$\frac{1}{7} \cdot (7 s) = \frac{2}{7} \cdot \frac{1}{5}$

Cancel the common factor of $7$ .

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Factor $7$ out of $7 s$ .

$\frac{1}{7} \cdot (7 (s)) = \frac{2}{7} \cdot \frac{1}{5}$

Cancel the common factor.

$\frac{1}{7} \cdot (7 s) = \frac{2}{7} \cdot \frac{1}{5}$

Rewrite the expression.

$s = \frac{2}{7} \cdot \frac{1}{5}$

Multiply $\frac{2}{7} \cdot \frac{1}{5}$ .

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Multiply $\frac{2}{7}$ and $\frac{1}{5}$ .

$s = \frac{2}{7 \cdot 5}$

Multiply $7$ by $5$ .

$s = \frac{2}{35}$

The result can be shown in multiple forms.

Exact Form:

$s = \frac{2}{35}$

Decimal Form:

$s = 0.0\overline{571428}$

Solve for s s/2+3s=1/5

Solving MATH problems