Basic Math Examples

$0.04956 = 65.39 a + (0.092 - a) \cdot 24.31$

Step 1

Rewrite the equation as $65.39 a + (0.092 - a) \cdot 24.31 = 0.04956$ .

$65.39 a + (0.092 - a) \cdot 24.31 = 0.04956$

Step 2

Simplify $65.39 a + (0.092 - a) \cdot 24.31$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$65.39 a + 0.092 \cdot 24.31 - a \cdot 24.31 = 0.04956$

Step 2.1.2

Multiply $0.092$ by $24.31$ .

$65.39 a + 2.23652 - a \cdot 24.31 = 0.04956$

Step 2.1.3

Multiply $24.31$ by $- 1$ .

$65.39 a + 2.23652 - 24.31 a = 0.04956$

Step 2.2

Subtract $24.31 a$ from $65.39 a$ .

$41.08 a + 2.23652 = 0.04956$

Step 3

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

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Step 3.1

Subtract $2.23652$ from both sides of the equation.

$41.08 a = 0.04956 - 2.23652$

Step 3.2

Subtract $2.23652$ from $0.04956$ .

$41.08 a = - 2.18696$

Step 4

Divide each term in $41.08 a = - 2.18696$ by $41.08$ and simplify.

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Step 4.1

Divide each term in $41.08 a = - 2.18696$ by $41.08$ .

$\frac{41.08 a}{41.08} = \frac{- 2.18696}{41.08}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $41.08$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{41.08 a}{41.08} = \frac{- 2.18696}{41.08}$

Step 4.2.1.2

Divide $a$ by $1$ .

$a = \frac{- 2.18696}{41.08}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 2.18696$ by $41.08$ .

$a = - 0.05323661$