Question

What are the solution(s) of the equation? -5x² +9x²-27x=6x¹ +3x² The solution (s) is/are (Simplify your answer Type an exact answer, using radicals and / as needed. Use a comma to separate answers as needed)​

Answer 1

The solutions to the equation are x = 0 and x = 9.

Step-by-step explanation:

To solve the equation -5x² +9x²-27x=6x +3x², we can combine like terms on both sides of the equation.

This gives us 4x² -27x = 9x.

Next, we can move all terms to one side of the equation to get 4x² -36x = 0.

Now, we can factor out a common term of 4x to get 4x(x - 9) = 0.

From here, we can set each factor equal to zero and solve for x.

This gives us two possible solutions: x = 0 and x = 9.

Therefore, the solutions to the equation are x = 0 and x = 9.