Basic Math Examples

$3 \cdot (- 4 y) - 10 = 0$

Step 1

Multiply $- 4$ by $3$ .

$- 12 y - 10 = 0$

Step 2

Add $10$ to both sides of the equation.

$- 12 y = 10$

Step 3

Divide each term in $- 12 y = 10$ by $- 12$ and simplify.

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Step 3.1

Divide each term in $- 12 y = 10$ by $- 12$ .

$\frac{- 12 y}{- 12} = \frac{10}{- 12}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 12$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 12 y}{- 12} = \frac{10}{- 12}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{10}{- 12}$

$y = \frac{10}{- 12}$

$y = \frac{10}{- 12}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $10$ and $- 12$ .

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Step 3.3.1.1

Factor $2$ out of $10$ .

$y = \frac{2 (5)}{- 12}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $2$ out of $- 12$ .

$y = \frac{2 \cdot 5}{2 \cdot - 6}$

Step 3.3.1.2.2

Cancel the common factor.

$y = \frac{2 \cdot 5}{2 \cdot - 6}$

Step 3.3.1.2.3

Rewrite the expression.

$y = \frac{5}{- 6}$

$y = \frac{5}{- 6}$

$y = \frac{5}{- 6}$

Step 3.3.2

Move the negative in front of the fraction.

$y = - \frac{5}{6}$

$y = - \frac{5}{6}$

$y = - \frac{5}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{5}{6}$

Decimal Form:

$y = - 0.8\overline{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$