Question
- 35x2 = 40x
Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary.
Solve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary.
Answers
GPT 3.5
To solve the quadratic equation 35x^2 = 40x by factoring, we would begin by subtracting 40x from both sides to bring all terms to one side of the equation:
35x^2 - 40x = 0
Next, we look for a common factor in both terms. In this case, the greatest common factor is 5x:
5x(7x - 8) = 0
Now, we can set each factor equal to zero and solve for x:
5x = 0 or 7x - 8 = 0
Solving the first equation, we get:
x = 0
Now, solving the second equation for x:
7x - 8 = 0
7x = 8
x = 8/7
Therefore, the solutions to the quadratic equation 35x^2 = 40x are x = 0 and x = 8/7.
35x^2 - 40x = 0
Next, we look for a common factor in both terms. In this case, the greatest common factor is 5x:
5x(7x - 8) = 0
Now, we can set each factor equal to zero and solve for x:
5x = 0 or 7x - 8 = 0
Solving the first equation, we get:
x = 0
Now, solving the second equation for x:
7x - 8 = 0
7x = 8
x = 8/7
Therefore, the solutions to the quadratic equation 35x^2 = 40x are x = 0 and x = 8/7.