Question

1500/x+250 - 1500/x =-30

Answer 1

Let's solve your equation step-by-step.1500x+250−1500x=−301500x+250+−1500x=−30Multiply all terms by (x+250)(x) and cancel:1500x+−1500(x+250)=−30(x+250)(x)−375000=−30x2−7500x(Simplify both sides of the equation)−375000−(−30x2−7500x)=−30x2−7500x−(−30x2−7500x)(Subtract -30x^2-7500x from both sides)30x2+7500x−375000=0x=−b±b2−4ac2a(Use quadratic formula with a=30, b=7500, c=-375000)x=−(7500)±(7500)2−4(30)(−375000)2(30)x=−7500±10125000060x=−125+755 or x=−125−755Check answers. (Plug them in to make sure they work.)x=−125+755(Works in original equation)x=−125−755(Works in original equation)Answer:x=−125+755 or x=−125−755