Precalculus Examples

$a x - b = 4 c$ , $a = 0$

Step 1

Replace all occurrences of $a$ with $0$ in each equation.

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Step 1.1

Replace all occurrences of $a$ in $a x - b = 4 c$ with $0$ .

$(0) \cdot x - b = 4 c$

$a = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $(0) \cdot x - b$ .

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Step 1.2.1.1

Multiply $0$ by $x$ .

$0 - b = 4 c$

$a = 0$

Step 1.2.1.2

Subtract $b$ from $0$ .

$- b = 4 c$

$a = 0$

$- b = 4 c$

$a = 0$

$- b = 4 c$

$a = 0$

$- b = 4 c$

$a = 0$

Step 2

Divide each term in $- b = 4 c$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- b = 4 c$ by $- 1$ .

$\frac{- b}{- 1} = \frac{4 c}{- 1}$

$a = 0$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{b}{1} = \frac{4 c}{- 1}$

$a = 0$

Step 2.2.2

Divide $b$ by $1$ .

$b = \frac{4 c}{- 1}$

$a = 0$

$b = \frac{4 c}{- 1}$

$a = 0$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative one from the denominator of $\frac{4 c}{- 1}$ .

$b = - 1 \cdot (4 c)$

$a = 0$

Step 2.3.2

Rewrite $- 1 \cdot (4 c)$ as $- (4 c)$ .

$b = - (4 c)$

$a = 0$

Step 2.3.3

Multiply $4$ by $- 1$ .

$b = - 4 c$

$a = 0$

$b = - 4 c$

$a = 0$

$b = - 4 c$

$a = 0$

Step 3

Solve the equation for $c$ .

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Step 3.1

Multiply $- 4$ by $- 1$ .

$4 c = 4 c$

$a = 0$

Step 3.2

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

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Step 3.2.1

Subtract $4 c$ from both sides of the equation.

$4 c - 4 c = 0$

$a = 0$

Step 3.2.2

Subtract $4 c$ from $4 c$ .

$0 = 0$

$a = 0$

$0 = 0$

$a = 0$

Step 3.3

Since $0 = 0$ , the equation will always be true.

Always true

$a = 0$

Always true

$a = 0$