Finite Math Examples

$25 x^{2} (4^{x}) - 4 \cdot 4^{x} = 0$

Step 1

Simplify $25 x^{2} (4^{x}) - 4 \cdot 4^{x}$ .

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Step 1.1

Multiply $- 4 \cdot 4^{x}$ .

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Step 1.1.1

Factor out negative.

$25 x^{2} (4^{x}) - (4 \cdot 4^{x}) = 0$

Step 1.1.2

Raise $4$ to the power of $1$ .

$25 x^{2} (4^{x}) - (4^{1} \cdot 4^{x}) = 0$

Step 1.1.3

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

$25 x^{2} (4^{x}) - 4^{1 + x} = 0$

Step 1.2

Reorder factors in $25 x^{2} (4^{x}) - 4^{1 + x}$ .

$25 x^{2} \cdot 4^{x} - 4^{1 + x} = 0$

Step 2

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

$x = - \frac{2}{5}, \frac{2}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{2}{5}, \frac{2}{5}$

Decimal Form:

$x = - 0.4, 0.4$

Step 4