Now, we can simplify further: 3 + 5x - x^2 = 2x + 6 - x^2 Combine like terms on both sides: 5x - x^2 = 2x + 3 Rearrange the equation to set it equal to zero: 3x - x^2 - 3 = 0
Finally, we have: (3-x)(x+1) = 0
Therefore, the solutions for this equation are x = 3 or x = -1.
Let's first simplify the original equation before multiplying by (x+3).
3 + x(5-x) = (2-x)(x+3)
3 + 5x - x^2 = 2x + 6 - x^2
Now, we can simplify further:
3 + 5x - x^2 = 2x + 6 - x^2
Combine like terms on both sides:
5x - x^2 = 2x + 3
Rearrange the equation to set it equal to zero:
3x - x^2 - 3 = 0
Finally, we have:
(3-x)(x+1) = 0
Therefore, the solutions for this equation are x = 3 or x = -1.