How to solve (7M)/alpha = 3/2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (7M)/alpha = 3/2 | Equatix

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Question

$$\frac{7M}{\alpha}=\frac{3}{2}$$

Solve for M

$M=\frac{3\alpha }{14}$
$\alpha \neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2\alpha $, the least common multiple of $\alpha ,2$.

$$2\times 7M=3\alpha $$

Multiply $2$ and $7$ to get $14$.

$$14M=3\alpha $$

Divide both sides by $14$.

$$\frac{14M}{14}=\frac{3\alpha }{14}$$

Dividing by $14$ undoes the multiplication by $14$.

$$M=\frac{3\alpha }{14}$$

Show Solution

Solve for α

$\alpha =\frac{14M}{3}$
$M\neq 0$

Steps for Solving Linear Equation

Variable $\alpha $ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $2\alpha $, the least common multiple of $\alpha ,2$.

$$2\times 7M=3\alpha $$

Multiply $2$ and $7$ to get $14$.

$$14M=3\alpha $$

Swap sides so that all variable terms are on the left hand side.

$$3\alpha =14M$$

Divide both sides by $3$.

$$\frac{3\alpha }{3}=\frac{14M}{3}$$

Dividing by $3$ undoes the multiplication by $3$.

$$\alpha =\frac{14M}{3}$$

Variable $\alpha $ cannot be equal to $0$.

$$\alpha =\frac{14M}{3}\text{, }\alpha \neq 0$$

Show Solution

Basic Math

Pre-Algebra

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Example

Question

Solve for M

Steps for Solving Linear Equation

Solve for α

Steps for Solving Linear Equation