Finite Math Examples

$d^{2} = s^{2} + (h + 1) f + 1$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $s^{2}$ from both sides of the equation.

$d^{2} - s^{2} = (h + 1) f + 1$

Step 1.2

Subtract $(h + 1) f$ from both sides of the equation.

$d^{2} - s^{2} - (h + 1) f = 1$

Step 1.3

Subtract $1$ from both sides of the equation.

$d^{2} - s^{2} - (h + 1) f - 1 = 0$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$d^{2} - s^{2} + (- h - 1 \cdot 1) f - 1 = 0$

Step 2.2

Multiply $- 1$ by $1$ .

$d^{2} - s^{2} + (- h - 1) f - 1 = 0$

Step 2.3

Apply the distributive property.

$d^{2} - s^{2} - h f - 1 f - 1 = 0$

Step 2.4

Rewrite $- 1 f$ as $- f$ .

$d^{2} - s^{2} - h f - f - 1 = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.