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Find the number of values of x which satisfy the equation 32x + 5x – 106 = 0.

Question

Find the number of values of x which satisfy the equation 32x + 5x – 106 = 0.

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Solution

Step 1: Combine like terms on the left side of the equation. This gives us 37x - 106 = 0.

Step 2: Add 106 to both sides of the equation to isolate the term with x on one side. This gives us 37x = 106.

Step 3: Divide both sides of the equation by 37 to solve for x. This gives us x = 106/37.

Step 4: Simplify the right side of the equation. This gives us x = 2.86 (rounded to two decimal places).

So, there is only one value of x that satisfies the equation 32x + 5x – 106 = 0, and that is x = 2.86.

This problem has been solved

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