SOLUTION: Please help me solve: -3x^2 + 75x=125+6x

Question 420637: Please help me solve: -3x^2 + 75x=125+6x
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Because of the squared term this is a quadratic equation. To solve a quadratic equation we want one side to be zero. And since the rest of the problem will be easier if the squared term has a positive coefficient, I am going to subtract the entire left side from both sides of the equation:

This equation does not factor so we will use the Quadratic Formula:

which simplifies as follows:

There are no perfect square factors in 3261 so the square root will not simplify. The solutions to your equation are:
or
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