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Solve.If there is no solution, type: no solution. If there is more than one solution, separate the answers by a comma.9+4|9x+9|=45

Question

Solve. If there is no solution, type: no solution. If there is more than one solution, separate the answers by a comma.

9+49x+9=45 9 + 4 |9x + 9| = 45

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Solution

To solve the equation 9 + 4|9x + 9| = 45, follow these steps:

Step 1: Subtract 9 from both sides of the equation to isolate the absolute value term:

4|9x + 9| = 45 - 9 4|9x + 9| = 36

Step 2: Divide both sides of the equation by 4:

|9x + 9| = 36 / 4 |9x + 9| = 9

Step 3: Solve for x by considering the two possible cases for the absolute value:

Case 1: 9x + 9 = 9 Subtract 9 from both sides: 9x = 0 Divide by 9: x = 0

Case 2: 9x + 9 = -9 Subtract 9 from both sides: 9x = -18 Divide by 9: x = -2

So, the solutions to the equation are x = 0 and x = -2.

This problem has been solved

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