Basic Math Examples

$C = \frac{5 (1.8 C + 3 - 160)}{9}$

Step 1

Multiply both sides by $9$ .

$C \cdot 9 = \frac{5 (1.8 C + 3 - 160)}{9} \cdot 9$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Move $9$ to the left of $C$ .

$9 C = \frac{5 (1.8 C + 3 - 160)}{9} \cdot 9$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5 (1.8 C + 3 - 160)}{9} \cdot 9$ .

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Step 2.2.1.1

Simplify the numerator.

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Step 2.2.1.1.1

Subtract $160$ from $3$ .

$9 C = \frac{5 (1.8 C - 157)}{9} \cdot 9$

Step 2.2.1.1.2

Factor $0.2$ out of $1.8 C - 157$ .

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Step 2.2.1.1.2.1

Factor $0.2$ out of $1.8 C$ .

$9 C = \frac{5 (0.2 (9 C) - 157)}{9} \cdot 9$

Step 2.2.1.1.2.2

Factor $0.2$ out of $- 157$ .

$9 C = \frac{5 (0.2 (9 C) + 0.2 (- 785))}{9} \cdot 9$

Step 2.2.1.1.2.3

Factor $0.2$ out of $0.2 (9 C) + 0.2 (- 785)$ .

$9 C = \frac{5 (0.2 (9 C - 785))}{9} \cdot 9$

$9 C = \frac{5 \cdot 0.2 (9 C - 785)}{9} \cdot 9$

Step 2.2.1.1.3

Combine exponents.

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Step 2.2.1.1.3.1

Multiply $5$ by $0.2$ .

$9 C = \frac{1 (9 C - 785)}{9} \cdot 9$

Step 2.2.1.1.3.2

Multiply $9 C - 785$ by $1$ .

$9 C = \frac{9 C - 785}{9} \cdot 9$

Step 2.2.1.2

Cancel the common factor of $9$ .

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Step 2.2.1.2.1

Cancel the common factor.

$9 C = \frac{9 C - 785}{9} \cdot 9$

Step 2.2.1.2.2

Rewrite the expression.

$9 C = 9 C - 785$

Step 3

Solve for $C$ .

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Step 3.1

Move all terms containing $C$ to the left side of the equation.

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Step 3.1.1

Subtract $9 C$ from both sides of the equation.

$9 C - 9 C = - 785$

Step 3.1.2

Subtract $9 C$ from $9 C$ .

$0 = - 785$

Step 3.2

Since $0 \neq - 785$ , there are no solutions.

No solution