Basic Math Examples

$- 5 w^{2} + 23 - (29 - 4 w^{2} + 9)$

Step 1

Factor $- 1$ out of $- 5 w^{2} + 23 - (29 - 4 w^{2} + 9)$ .

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Step 1.1

Reorder the expression.

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Step 1.1.1

Reorder $29$ and $- 4 w^{2}$ .

$- 5 w^{2} + 23 - (- 4 w^{2} + 29 + 9)$

Step 1.1.2

Move $23$ .

$- 5 w^{2} - (- 4 w^{2} + 29 + 9) + 23$

Step 1.2

Factor $- 1$ out of $- 5 w^{2}$ .

$- (5 w^{2}) - (- 4 w^{2} + 29 + 9) + 23$

Step 1.3

Rewrite $23$ as $- 1 (- 23)$ .

$- (5 w^{2}) - (- 4 w^{2} + 29 + 9) - 1 (- 23)$

Step 1.4

Factor $- 1$ out of $- (5 w^{2}) - (- 4 w^{2} + 29 + 9)$ .

$- (5 w^{2} - 4 w^{2} + 29 + 9) - 1 (- 23)$

Step 1.5

Factor $- 1$ out of $- (5 w^{2} - 4 w^{2} + 29 + 9) - 1 (- 23)$ .

$- (5 w^{2} - 4 w^{2} + 29 + 9 - 23)$

Step 2

Subtract $4 w^{2}$ from $5 w^{2}$ .

$- (w^{2} + 29 + 9 - 23)$

Step 3

Add $29$ and $9$ .

$- (w^{2} + 38 - 23)$

Step 4

Subtract $23$ from $38$ .

$- (w^{2} + 15)$