How to solve one-step equations - Algebra

Add to both sides.

Multiply both sides by .

Multiply both sides by .

When solving a one step equation like this, we do the inverse operation to isolate the variable. In this case, we have 3x = 9, so we divide both sides by 3 to get x = 3.

3x = 9

(3x)/3 = (9)/3

x = 3

Add 15 to each side of the equation.

A complex number in its standard form is of the form: , where stands for the real part and stands for the imaginary part. The symbol stands for .

The imaginary part is .

The conjugate is so that when is multiplied by its conjugate we get

Since

we get

.

A complex number in its standard form is of the form: , where stands for the real part and stands for the imaginary part. The symbol stands for .

The real part is 0.

In this problem there is no real part. Hence the real part equals 0.

A complex number in its standard form is of the form: , where stands for the real part and stands for the imaginary part. The symbol stands for .

The imaginary part equals based on the definition of a complex number in standard form which is .

The conjugate of an imaginary number is the opposite of the given imaginary part. For example the conjugate of is and conjugate of equals

Since is a real number its conjugate is also .

First we will add to both sides.

Then we will multiple both sides by to isolate .

Simplifying for gives you . Thus, the value of is 3.

To determine the roots of the equation, you must set each expression equal to 0. In this case, there are two expressions being multiplied. Thus, you must set and , which would give you and as roots, with being the smaller root.

Simplify the equation to get . Simplify further to get , which then gives you .

Multiply the terms in parentheses using the distributive property.

Then, combine like terms on both sides of the equation.

Then, put the terms on the left and the integers on the right:

Divide both sides by two to isolate .

Add 8 to both sides.

Simplify.