Calculus Examples

$- 1 x + 55 = 0$

Step 1

Subtract $55$ from both sides of the equation.

$- 1 x = - 55$

Step 2

Divide each term in $- 1 x = - 55$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- 1 x = - 55$ by $- 1$ .

$\frac{- 1 x}{- 1} = \frac{- 55}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 1$ .

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Step 2.2.1.1

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- 1 (1) x}{- 1} = \frac{- 55}{- 1}$

Step 2.2.1.2

Factor $1$ out of $- 1 (1) x$ .

$\frac{1 (- 1 \cdot 1 x)}{- 1} = \frac{- 55}{- 1}$

Step 2.2.1.3

Move the negative one from the denominator of $\frac{- 1 \cdot 1 x}{- 1}$ .

$- 1 \cdot (- 1 \cdot 1 x) = \frac{- 55}{- 1}$

Step 2.2.2

Simplify the expression.

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Step 2.2.2.1

Rewrite $- 1 \cdot (- 1 \cdot 1 x)$ as $- (- 1 \cdot 1 x)$ .

$- (- 1 \cdot 1 x) = \frac{- 55}{- 1}$

Step 2.2.2.2

Multiply $- 1$ by $1$ .

$- (- 1 x) = \frac{- 55}{- 1}$

Step 2.2.2.3

Rewrite $- 1 x$ as $- x$ .

$- - x = \frac{- 55}{- 1}$

Step 2.2.3

Multiply $- - x$ .

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Step 2.2.3.1

Multiply $- 1$ by $- 1$ .

$1 x = \frac{- 55}{- 1}$

Step 2.2.3.2

Multiply $x$ by $1$ .

$x = \frac{- 55}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 55$ by $- 1$ .

$x = 55$