Basic Math Examples

$b = \frac{a \cdot 110000}{a - 0.7}$

Step 1

Multiply the equation by $a - 0.7$ .

$(a - 0.7) (b) = (\frac{a \cdot 110000}{a - 0.7}) (a - 0.7)$

Step 2

Simplify the left side.

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Step 2.1

Apply the distributive property.

$a b - 0.7 b = (\frac{a \cdot 110000}{a - 0.7}) (a - 0.7)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $(\frac{a \cdot 110000}{a - 0.7}) (a - 0.7)$ .

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Step 3.1.1

Cancel the common factor of $a - 0.7$ .

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Step 3.1.1.1

Cancel the common factor.

$a b - 0.7 b = \frac{a \cdot 110000}{a - 0.7} (a - 0.7)$

Step 3.1.1.2

Rewrite the expression.

$a b - 0.7 b = a \cdot 110000$

Step 3.1.2

Move $110000$ to the left of $a$ .

$a b - 0.7 b = 110000 a$

Step 4

Solve for $a$ .

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Step 4.1

Subtract $110000 a$ from both sides of the equation.

$a b - 0.7 b - 110000 a = 0$

Step 4.2

Add $0.7 b$ to both sides of the equation.

$a b - 110000 a = 0.7 b$

Step 4.3

Factor $a$ out of $a b - 110000 a$ .

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Step 4.3.1

Factor $a$ out of $a b$ .

$a (b) - 110000 a = 0.7 b$

Step 4.3.2

Factor $a$ out of $- 110000 a$ .

$a (b) + a \cdot - 110000 = 0.7 b$

Step 4.3.3

Factor $a$ out of $a (b) + a \cdot - 110000$ .

$a (b - 110000) = 0.7 b$

Step 4.4

Divide each term in $a (b - 110000) = 0.7 b$ by $b - 110000$ and simplify.

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Step 4.4.1

Divide each term in $a (b - 110000) = 0.7 b$ by $b - 110000$ .

$\frac{a (b - 110000)}{b - 110000} = \frac{0.7 b}{b - 110000}$

Step 4.4.2

Simplify the left side.

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Step 4.4.2.1

Cancel the common factor of $b - 110000$ .

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Step 4.4.2.1.1

Cancel the common factor.

$\frac{a (b - 110000)}{b - 110000} = \frac{0.7 b}{b - 110000}$

Step 4.4.2.1.2

Divide $a$ by $1$ .

$a = \frac{0.7 b}{b - 110000}$