SOLUTION: 28x - 140 I have six steps to do this problem 1. move the constant term to the right side of the equation 2. multiply each term in the equation by four times the coefficient of

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: 28x - 140 I have six steps to do this problem 1. move the constant term to the right side of the equation 2. multiply each term in the equation by four times the coefficient of       Log On


   



Question 766460: 28x - 140 I have six steps to do this problem
1. move the constant term to the right side of the equation
2. multiply each term in the equation by four times the coefficient of the x to the second power term
3. square the coefficient of the original x term and add it to both sides of the equation
4. take the square root of both sides
5. set the left side of the equation equal to the positive square root of the number on the right side and solve for x
6. set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

28x+-+140+=0

1. move the constant term to the right side of the equation
28x+=140+
2. multiply each term in the equation by four times the coefficient of the x to
the second power term
28%2A28%5E2x+=140+%2A28%5E2
3. square the coefficient of the original x term and add it to both sides
of the equation
28%2A28%5E2x+%2B28%5E2=140+%2A28%5E2%2B28%5E2
4. take the square root of both sides
sqrt%2828%2A28%5E2x+%2B28%5E2%29=sqrt%28140+%2A28%5E2%2B28%5E2%29
5. set the left side of the equation equal to the positive square root of
the number on the right side and solve for x
sqrt%2828%2A28%5E2x+%2B28%5E2%29=sqrt%28110544%29
28%2A28%5E2x+%2B28%5E2=110544
21952x+%2B784=110544
21952x+=110544-784
21952x+=109760
x+=109760%2F21952
x+=5
6. set the left side of the equation equal to the negative square root of
the number on the right side of the equation and solve for x
sqrt%2828%2A28%5E2x+%2B28%5E2%29=sqrt%28110544%29
28%2A28%5E2x+%2B28%5E2=-110544
21952x+%2B784=-110544
21952x+=-110544-784
21952x+=-109760
x+=-109760%2F21952
x+=-5