Subjects algebra

Solve Equation 43955D

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Question: User: 2x plus 2 squared equals 16 solve
1. **State the problem:** Solve the equation $$2x + 2^2 = 16$$ for $$x$$. 2. **Rewrite the equation:** Recall that $$2^2 = 4$$, so the equation becomes: $$2x + 4 = 16$$ 3. **Isolate the term with $$x$$:** Subtract $$4$$ from both sides: $$2x + \cancel{4} - \cancel{4} = 16 - 4$$ which simplifies to: $$2x = 12$$ 4. **Solve for $$x$$:** Divide both sides by $$2$$: $$\frac{2x}{2} = \frac{12}{2}$$ which simplifies to: $$x = 6$$ 5. **Check the solution:** Substitute $$x = 6$$ back into the original equation: $$2(6) + 2^2 = 12 + 4 = 16$$ The left side equals the right side, so $$x = 6$$ is the correct solution.