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What are the 3 types of solutions and examples?

User Tim Wintle
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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.
User Keith Lyall
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