Finite Math Examples

$\frac{5000000}{7000} = {(1 + x)}^{200}$

Step 1

Subtract ${(1 + x)}^{200}$ from both sides of the equation.

$\frac{5000000}{7000} - {(1 + x)}^{200} = 0$

Step 2

Simplify $\frac{5000000}{7000} - {(1 + x)}^{200}$ .

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Step 2.1

Cancel the common factor of $5000000$ and $7000$ .

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Step 2.1.1

Factor $1000$ out of $5000000$ .

$\frac{1000 (5000)}{7000} - {(1 + x)}^{200} = 0$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $1000$ out of $7000$ .

$\frac{1000 \cdot 5000}{1000 \cdot 7} - {(1 + x)}^{200} = 0$

Step 2.1.2.2

Cancel the common factor.

$\frac{1000 \cdot 5000}{1000 \cdot 7} - {(1 + x)}^{200} = 0$

Step 2.1.2.3

Rewrite the expression.

$\frac{5000}{7} - {(1 + x)}^{200} = 0$

Step 2.2

To write $- {(1 + x)}^{200}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{5000}{7} - {(1 + x)}^{200} \cdot \frac{7}{7} = 0$

Step 2.3

Combine $- {(1 + x)}^{200}$ and $\frac{7}{7}$ .

$\frac{5000}{7} + \frac{- {(1 + x)}^{200} \cdot 7}{7} = 0$

Step 2.4

Combine the numerators over the common denominator.

$\frac{5000 - {(1 + x)}^{200} \cdot 7}{7} = 0$

Step 2.5

Multiply $7$ by $- 1$ .

$\frac{5000 - 7 {(1 + x)}^{200}}{7} = 0$

Step 3

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

$x \approx - 2.03340214, 0.03340214$

Step 4