Finite Math Examples

$270^{2} a + 270 b + c = 34$

Step 1

Raise $270$ to the power of $2$ .

$72900 a + 270 b + c = 34$

Step 2

Move all terms not containing $a$ to the right side of the equation.

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Step 2.1

Subtract $270 b$ from both sides of the equation.

$72900 a + c = 34 - 270 b$

Step 2.2

Subtract $c$ from both sides of the equation.

$72900 a = 34 - 270 b - c$

Step 3

Divide each term in $72900 a = 34 - 270 b - c$ by $72900$ and simplify.

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Step 3.1

Divide each term in $72900 a = 34 - 270 b - c$ by $72900$ .

$\frac{72900 a}{72900} = \frac{34}{72900} + \frac{- 270 b}{72900} + \frac{- c}{72900}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $72900$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{72900 a}{72900} = \frac{34}{72900} + \frac{- 270 b}{72900} + \frac{- c}{72900}$

Step 3.2.1.2

Divide $a$ by $1$ .

$a = \frac{34}{72900} + \frac{- 270 b}{72900} + \frac{- c}{72900}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $34$ and $72900$ .

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Step 3.3.1.1.1

Factor $2$ out of $34$ .

$a = \frac{2 (17)}{72900} + \frac{- 270 b}{72900} + \frac{- c}{72900}$

Step 3.3.1.1.2

Cancel the common factors.

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Step 3.3.1.1.2.1

Factor $2$ out of $72900$ .

$a = \frac{2 \cdot 17}{2 \cdot 36450} + \frac{- 270 b}{72900} + \frac{- c}{72900}$

Step 3.3.1.1.2.2

Cancel the common factor.

$a = \frac{2 \cdot 17}{2 \cdot 36450} + \frac{- 270 b}{72900} + \frac{- c}{72900}$

Step 3.3.1.1.2.3

Rewrite the expression.

$a = \frac{17}{36450} + \frac{- 270 b}{72900} + \frac{- c}{72900}$

Step 3.3.1.2

Cancel the common factor of $- 270$ and $72900$ .

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Step 3.3.1.2.1

Factor $270$ out of $- 270 b$ .

$a = \frac{17}{36450} + \frac{270 (- b)}{72900} + \frac{- c}{72900}$

Step 3.3.1.2.2

Cancel the common factors.

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Step 3.3.1.2.2.1

Factor $270$ out of $72900$ .

$a = \frac{17}{36450} + \frac{270 (- b)}{270 (270)} + \frac{- c}{72900}$

Step 3.3.1.2.2.2

Cancel the common factor.

$a = \frac{17}{36450} + \frac{270 (- b)}{270 \cdot 270} + \frac{- c}{72900}$

Step 3.3.1.2.2.3

Rewrite the expression.

$a = \frac{17}{36450} + \frac{- b}{270} + \frac{- c}{72900}$

Step 3.3.1.3

Move the negative in front of the fraction.

$a = \frac{17}{36450} - \frac{b}{270} + \frac{- c}{72900}$

Step 3.3.1.4

Move the negative in front of the fraction.

$a = \frac{17}{36450} - \frac{b}{270} - \frac{c}{72900}$