Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$\frac { x } { 2 } - 5 = \frac { x } { 2 }$$
A) $\{ x \mid x$ is a real number $\}$
B) $\varnothing$
C) $\{ 5 \}$
D) $\{ 0 \}$

Question

Quizplus · Accepted Answer

Subtracting $\frac{x}{2}$ from both sides of the equation gives $0 - 5 = 0$, which simplifies to $-5 = 0$, a contradiction. Therefore, the equation has no solution.

Solve the Equation x2−5=x2\frac { x } { 2 } - 5 = \frac { x } { 2 }2x​−5=2x​

Solve the Equation $\frac { x } { 2 } - 5 = \frac { x } { 2 }$