Let's solve the equation step by step:
First, simplify both sides of the equation:
2x^2 + 3x - 5x^2 + 15x = 21x - 3x^2-3x^2 + 2x^2 + 15x + 3x = 21x-x^2 + 18x = 21x-x^2 - 3x = 0
Now, let's solve for x in the simplified equation:
-x(x + 3) = 0
This equation will be true when either x = 0 or x = -3.
Therefore, the solutions to the equation are x = 0 and x = -3.
Let's solve the equation step by step:
First, simplify both sides of the equation:
2x^2 + 3x - 5x^2 + 15x = 21x - 3x^2
-3x^2 + 2x^2 + 15x + 3x = 21x
-x^2 + 18x = 21x
-x^2 - 3x = 0
Now, let's solve for x in the simplified equation:
-x(x + 3) = 0
This equation will be true when either x = 0 or x = -3.
Therefore, the solutions to the equation are x = 0 and x = -3.