How to solve a ) 3/2 = 9 / x

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 a ) 3/2 = 9 / x | Equatix

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Question

$$3 : 2 = 9 : x$$

Solve for x

$x=6$

Steps for Solving Linear Equation

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

$$3x=2\times 9$$

Multiply $2$ and $9$ to get $18$.

$$3x=18$$

Divide both sides by $3$.

$$x=\frac{18}{3}$$

Divide $18$ by $3$ to get $6$.

$$x=6$$

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