Solve 3x_{2}x-14x+15=0

$$3 x _ { 2 } x - 14 x + 15 = 0$$

Solve for x

$$x=-\frac{15}{3x_{2}-14}$$

$$x_{2}\neq \frac{14}{3}$$

Steps for Solving Linear Equation

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$3x_{2}x-14x=-15$$

Combine all terms containing x.

$$\left(3x_{2}-14\right)x=-15$$

Divide both sides by 3x_{2}-14.

$$\frac{\left(3x_{2}-14\right)x}{3x_{2}-14}=-\frac{15}{3x_{2}-14}$$

Dividing by 3x_{2}-14 undoes the multiplication by 3x_{2}-14.

$$x=-\frac{15}{3x_{2}-14}$$

Solve for x_2

$$x_{2}=\frac{14}{3}-\frac{5}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Add 14x to both sides. Anything plus zero gives itself.

$$3x_{2}x+15=14x$$

Subtract 15 from both sides.

$$3x_{2}x=14x-15$$

The equation is in standard form.

$$3xx_{2}=14x-15$$

Divide both sides by 3x.

$$\frac{3xx_{2}}{3x}=\frac{14x-15}{3x}$$

Dividing by 3x undoes the multiplication by 3x.

$$x_{2}=\frac{14x-15}{3x}$$

Divide 14x-15 by 3x.

$$x_{2}=\frac{14}{3}-\frac{5}{x}$$