To solve for x, we want to get all the x terms on one side of the equation and the constant terms on the other side.
Subtracting 5x from both sides of the equation we get:
x^2 + 6 - 5x = 0
Rearranging the terms, we get:
x^2 - 5x + 6 = 0
Now, we need to factor the quadratic equation:
x−2x - 2x−2x−3x - 3x−3 = 0
Setting each factor to zero:
x - 2 = 0x = 2
x - 3 = 0x = 3
Therefore, the solutions are x = 2 and x = 3.
To solve for x, we want to get all the x terms on one side of the equation and the constant terms on the other side.
Subtracting 5x from both sides of the equation we get:
x^2 + 6 - 5x = 0
Rearranging the terms, we get:
x^2 - 5x + 6 = 0
Now, we need to factor the quadratic equation:
x−2x - 2x−2x−3x - 3x−3 = 0
Setting each factor to zero:
x - 2 = 0
x = 2
x - 3 = 0
x = 3
Therefore, the solutions are x = 2 and x = 3.