1.) One solution
Example: 2x=10, where “x” only equals 5 to satisfy the equation.
2.) All real solutions
Example: 4x+2x+10=8x-2x+5+5. After simplifying, the equation is equivalent to 6x+10=6x+10. Solving for x, 6x=6x, and x=x. This means that any real input for x will satisfy the equation.
3.) No solution
Example: 3x+6=3x+4, which simplifies to 6=4, which is false. Therefore, the equation is unequal and no value for x will satisfy the equation.