Finite Math Examples

$25 x - 1^{2} = \frac{16}{25}$

Step 1

Simplify each term.

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Step 1.1

One to any power is one.

$25 x - 1 \cdot 1 = \frac{16}{25}$

Step 1.2

Multiply $- 1$ by $1$ .

$25 x - 1 = \frac{16}{25}$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Add $1$ to both sides of the equation.

$25 x = \frac{16}{25} + 1$

Step 2.2

Write $1$ as a fraction with a common denominator.

$25 x = \frac{16}{25} + \frac{25}{25}$

Step 2.3

Combine the numerators over the common denominator.

$25 x = \frac{16 + 25}{25}$

Step 2.4

Add $16$ and $25$ .

$25 x = \frac{41}{25}$

Step 3

Divide each term in $25 x = \frac{41}{25}$ by $25$ and simplify.

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Step 3.1

Divide each term in $25 x = \frac{41}{25}$ by $25$ .

$\frac{25 x}{25} = \frac{\frac{41}{25}}{25}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $25$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{25 x}{25} = \frac{\frac{41}{25}}{25}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{41}{25}}{25}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{41}{25} \cdot \frac{1}{25}$

Step 3.3.2

Multiply $\frac{41}{25} \cdot \frac{1}{25}$ .

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Step 3.3.2.1

Multiply $\frac{41}{25}$ by $\frac{1}{25}$ .

$x = \frac{41}{25 \cdot 25}$

Step 3.3.2.2

Multiply $25$ by $25$ .

$x = \frac{41}{625}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{41}{625}$

Decimal Form:

$x = 0.0656$