4x^2−x=3(Simplify both sides of the equation)4x^2−x−3=3−3(Subtract 3 from both sides)4x^2−x−3=0(4x+3)(x−1)=0(Factor left side of equation)4x+3=0 or x−1=0(Set factors equal to 0)x=−3/4 or x=1Check answers. (Plug them in to make sure they work.)x=−3/4(Works in original equation)x=1(Works in original equation)Answer:x=−3/4 or x=1
