Finite Math Examples

$x^{2} - 4 x - 5 i x - 4 x + 5 i x + 16 + 20 i - 20 i - 25 i^{2}$

Step 1

Combine the opposite terms in $x^{2} - 4 x - 5 i x - 4 x + 5 i x + 16 + 20 i - 20 i - 25 i^{2}$ .

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Step 1.1

Add $- 5 i x$ and $5 i x$ .

$x^{2} - 4 x - 4 x + 0 + 16 + 20 i - 20 i - 25 i^{2}$

Step 1.2

Add $x^{2} - 4 x - 4 x$ and $0$ .

$x^{2} - 4 x - 4 x + 16 + 20 i - 20 i - 25 i^{2}$

Step 1.3

Subtract $20 i$ from $20 i$ .

$x^{2} - 4 x - 4 x + 16 + 0 - 25 i^{2}$

Step 1.4

Add $x^{2} - 4 x - 4 x + 16$ and $0$ .

$x^{2} - 4 x - 4 x + 16 - 25 i^{2}$

Step 2

Simplify each term.

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Step 2.1

Rewrite $i^{2}$ as $- 1$ .

$x^{2} - 4 x - 4 x + 16 - 25 \cdot - 1$

Step 2.2

Multiply $- 25$ by $- 1$ .

$x^{2} - 4 x - 4 x + 16 + 25$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $4 x$ from $- 4 x$ .

$x^{2} - 8 x + 16 + 25$

Step 3.2

Add $16$ and $25$ .

$x^{2} - 8 x + 41$