Calculus Examples

$((4 \cdot 9.8) - (4 \cdot a)) - ((10 \cdot a) + (10 \cdot 9.8)) = \frac{1}{2} M a$

Simplify $(4 \cdot 9.8) - (4 \cdot a) - (10 \cdot a + 10 \cdot 9.8)$ .

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Simplify each term.

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Multiply $4$ by $9.8$ .

$39.2 - (4 \cdot a) - (10 \cdot a + 10 \cdot 9.8) = \frac{1}{2} \cdot (M a)$

Multiply $4$ by $- 1$ .

$39.2 - 4 a - (10 \cdot a + 10 \cdot 9.8) = \frac{1}{2} \cdot (M a)$

Multiply $10$ by $9.8$ .

$39.2 - 4 a - (10 a + 98) = \frac{1}{2} \cdot (M a)$

Apply the distributive property.

$39.2 - 4 a - (10 a) - 1 \cdot 98 = \frac{1}{2} \cdot (M a)$

Multiply $10$ by $- 1$ .

$39.2 - 4 a - 10 a - 1 \cdot 98 = \frac{1}{2} \cdot (M a)$

Multiply $- 1$ by $98$ .

$39.2 - 4 a - 10 a - 98 = \frac{1}{2} \cdot (M a)$

Simplify by adding terms.

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Subtract $98$ from $39.2$ .

$- 4 a - 10 a - 58.8 = \frac{1}{2} \cdot (M a)$

Subtract $10 a$ from $- 4 a$ .

$- 14 a - 58.8 = \frac{1}{2} \cdot (M a)$

Multiply $\frac{1}{2} (M a)$ .

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Combine $M$ and $\frac{1}{2}$ .

$- 14 a - 58.8 = \frac{M}{2} a$

Combine $\frac{M}{2}$ and $a$ .

$- 14 a - 58.8 = \frac{M a}{2}$

Subtract $\frac{M a}{2}$ from both sides of the equation.

$- 14 a - 58.8 - \frac{M a}{2} = 0$

Add $58.8$ to both sides of the equation.

$- 14 a - \frac{M a}{2} = 58.8$