Solve the equation for x. Write the solution set
3x2 + 5x2 – x – 7x2 = 0
I will assume this is
3x^2 + 5x^2 - x - 7x^2 = 0
x^2 - x = 0
x(x-1) = 0
x = 0 or x = 1
3x^2+5x^2-x-7x^2=0
8x^2-x-7x^2=0
1x^2-x=0
x(x-1)=0
x=0, 1
To solve the equation 3x^2 + 5x^2 - x - 7x^2 = 0, we need to combine like terms.
First, let's add up all the terms with x^2: 3x^2 + 5x^2 - 7x^2 = x^2.
Now let's add up all the terms with x: -x
Since we don't have any terms without x or x^2, we can simplify our equation to:
x^2 - x = 0
To solve this equation, we want to find the values of x that make this equation true. We can factor out an x from both terms:
x(x - 1) = 0
Now we can set each factor equal to zero:
x = 0 or x - 1 = 0
Solving for x in the second equation:
x - 1 = 0
x = 1
Now we have two potential solutions: x = 0 and x = 1.
Therefore, the solution set for the equation 3x^2 + 5x^2 - x - 7x^2 = 0 is {0, 1}.