Finite Math Examples

$\sin (x) = K a \cdot 170 + V r^{180}$

Step 1

Rewrite the equation as $K a \cdot 170 + V r^{180} = \sin (x)$ .

$K a \cdot 170 + V r^{180} = \sin (x)$

Step 2

Simplify the left side.

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Step 2.1

Move $170$ to the left of $K a$ .

$170 K a + V r^{180} = \sin (x)$

Step 3

Subtract $V r^{180}$ from both sides of the equation.

$170 K a = \sin (x) - V r^{180}$

Step 4

Divide each term in $170 K a = \sin (x) - V r^{180}$ by $170 a$ and simplify.

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Step 4.1

Divide each term in $170 K a = \sin (x) - V r^{180}$ by $170 a$ .

$\frac{170 K a}{170 a} = \frac{\sin (x)}{170 a} + \frac{- V r^{180}}{170 a}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $170$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{170 K a}{170 a} = \frac{\sin (x)}{170 a} + \frac{- V r^{180}}{170 a}$

Step 4.2.1.2

Rewrite the expression.

$\frac{K a}{a} = \frac{\sin (x)}{170 a} + \frac{- V r^{180}}{170 a}$

Step 4.2.2

Cancel the common factor of $a$ .

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Step 4.2.2.1

Cancel the common factor.

$\frac{K a}{a} = \frac{\sin (x)}{170 a} + \frac{- V r^{180}}{170 a}$

Step 4.2.2.2

Divide $K$ by $1$ .

$K = \frac{\sin (x)}{170 a} + \frac{- V r^{180}}{170 a}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$K = \frac{\sin (x)}{170 a} - \frac{V r^{180}}{170 a}$