Basic Math Examples

$\frac{1}{r} - \frac{1}{{(r + r^{2})}^{48}} = \frac{100}{3}$

Step 1

Simplify the denominator.

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Step 1.1

Factor $r$ out of $r + r^{2}$ .

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Step 1.1.1

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

$\frac{1}{r} - \frac{1}{{(r^{1} + r^{2})}^{48}} = \frac{100}{3}$

Step 1.1.2

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

$\frac{1}{r} - \frac{1}{{(r \cdot 1 + r^{2})}^{48}} = \frac{100}{3}$

Step 1.1.3

Factor $r$ out of $r^{2}$ .

$\frac{1}{r} - \frac{1}{{(r \cdot 1 + r \cdot r)}^{48}} = \frac{100}{3}$

Step 1.1.4

Factor $r$ out of $r \cdot 1 + r \cdot r$ .

$\frac{1}{r} - \frac{1}{{(r (1 + r))}^{48}} = \frac{100}{3}$

Step 1.2

Apply the product rule to $r (1 + r)$ .

$\frac{1}{r} - \frac{1}{r^{48} {(1 + r)}^{48}} = \frac{100}{3}$

Step 2

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

No solution