Pre-Algebra Examples

$\frac{3 x}{5} \cdot x = \frac{x}{15} - \frac{35}{3}$

Step 1

Multiply $\frac{3 x}{5} x$ .

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Step 1.1

Combine $\frac{3 x}{5}$ and $x$ .

$\frac{3 x \cdot x}{5} = \frac{x}{15} - \frac{35}{3}$

Step 1.2

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

$\frac{3 (x^{1} x)}{5} = \frac{x}{15} - \frac{35}{3}$

Step 1.3

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

$\frac{3 (x^{1} x^{1})}{5} = \frac{x}{15} - \frac{35}{3}$

Step 1.4

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

$\frac{3 x^{1 + 1}}{5} = \frac{x}{15} - \frac{35}{3}$

Step 1.5

Add $1$ and $1$ .

$\frac{3 x^{2}}{5} = \frac{x}{15} - \frac{35}{3}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Step 3