By substituting- and, subsequently,this can be rewritten as a quadratic equation, and solved as such:

We are looking to factor the quadratic expression as, replacing the two question marks with integers with productand sum 5; these integers are.

Substitute back:

The first factor cannot be factored further. The second factor, however, can itself be factored as the difference of squares:

Set each factor to zero and solve:

Since no real number squared is equal to a negative number, no real solution presents itself here.

The solution set is.

By substituting- and, subsequently,this can be rewritten as a quadratic equation, and solved as such:

We are looking to factor the quadratic expression as, replacing the two question marks with integers with product 36 and sum; these integers are.

Substitute back:

These factors can themselves be factored as the difference of squares:

Set each factor to zero and solve:

The solution set is.

can be simplified to become

Then, you can further simplify by adding 5 andto both sides to get.

Then, you can divide both sides by 5 to get.

To solve for, you must first combine the's on the right side of the equation. This will give you.

Then, subtractandfrom both sides of the equation to get.

Finally, divide both sides byto get the solution.

The first step is to distribute (multiply) the 2 through the parentheses:

Then isolateon the left side of the equation. Subtract the 10 from the left and right side.

Finally, to isolate, divide the left side by 2 so that the 2 cancels out. Then divide by 2 on the right side as well.

You can verify this answer by plugging theinto the original equation.

Combine like terms on the left side of the equation:

Use the distributive property to simplify the right side of the equation:

Next, move the's to one side and the integers to the other side:

Simplify the parenthesis:

Combine the terms with x's:

Combine constants:

Solve the following equation when y is equal to four.

To solve this equation, we need to plug in 4 for y and solve.

To solve, we must isolate x. In order to do that, we must first add 7 to both sides.

Next, we must divide both sides by 3.

To find this line, first find the slope (m) between the two coordinate points. Then use the point-slope formula to find a line with that same slope passing through a particular point.