Solve the equation by​ factoring, using​ tables, or by graphing.left parenthesis x plus 6 right parenthesis squared equals 36Question content area bottomPart 1xequalsenter your response here​(Simplify your answer. Type an integer or a simplified fraction. Use a comma to separate answers as​ needed.)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the equation \((x + 6)^2 = 36\), we can proceed by taking the square root of both sides:

  1. Take the square root of both sides:

\[ x + 6 = \pm 6 \]

This gives us two separate equations to solve:

  1. Solve each equation:

    • For the positive case: \[ x + 6 = 6 \] Subtract 6 from both sides: \[ x = 6 - 6 = 0 \]

    • For the negative case: \[ x + 6 = -6 \] Subtract 6 from both sides: \[ x = -6 - 6 = -12 \]

  2. Therefore, the solutions to the equation \((x + 6)^2 = 36\) are:

\[ x = 0, -12 \]

So, in simplified form, the final answer is:

0, -12