SOLUTION: What is the solution set of the equation |x^2-2x| = 3x-6

Algebra.Com
Question 174977: What is the solution set of the equation |x^2-2x| = 3x-6
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What is the solution set of the equation |x^2-2x| = 3x-6
-------------------------
x^2-2x = 3x-6 or x^2-2x = -3x+6
x^2 -5x + 6 = 0 or x^2 + x -6 = 0
(x-2)(x-3) = 0 or (x+3)(x-2) = 0
x = 2 or x = 3 or x = -3 or x = 2
Final answer: x = 2 or 3 or -3
===================================
Cheers,
Stan H.

RELATED QUESTIONS

What is the solution set of the equation... (answered by HasanSahin)
what is the solution set of the quadratic equation 3x^2 + 2x =... (answered by LinnW)
what is the solution set of this simultaneous equation 2x + 3y = 10 and 3x - 2y = 2... (answered by Boreal)
what is the solution set of the equation 3x^2 + x - 2 =... (answered by richwmiller)
What is the solution set of the equation square root... (answered by jsmallt9)
what is the solution set of 2x^3-3x^2-11x+6=0 and 1/2 is one... (answered by richard1234)
Solve the equation by the method of your choice. 2x²-3x=2. What is the solution... (answered by nerdybill,stanbon)
what is the solution set of the equation x^2-7x... (answered by jim_thompson5910,josmiceli)
Use the quadratic formula to solve the equation. 2x^2-x=-6 The solution set is... (answered by checkley77)