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Home > PC > Chapter 1 > Lesson 1.2.1 > Problem 1-72

1-72.
  1. Calculator icon Solve the following equations. Homework Help ✎

    1. 3(x − 2) − 2(x + 7) = 2x + 17

    2. x2 + 3x − 10 = 0

    3. x2 − 7x = − 12

    4. x3 + x2 = 6x

What kind of equation is this?

It is linear. Distribute and solve for x.

What kind of equation is this?

This is a quadratic equation.

What are three techniques for solving for x?

1. Factor and use the Zero Product Property.
2. Use the Quadratic Formula.
3. Graph and find the x-intercepts.

Set the equation equal to 0. Then factor and use the Zero Product Property.

Move all of the variables to the left side and factor out an x first. Then factor the remaining trinomial.