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.
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.
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