To solve the equation \( 16x^2 + 9 = 25 \), we can begin by isolating the term involving \( x \).
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Subtract 9 from both sides: \[ 16x^2 + 9 - 9 = 25 - 9 \] This simplifies to: \[ 16x^2 = 16 \]
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Next, divide both sides by 16: \[ x^2 = \frac{16}{16} \] Which simplifies to: \[ x^2 = 1 \]
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Now, take the square root of both sides: \[ x = \pm 1 \]
Thus, the solutions to the equation \( 16x^2 + 9 = 25 \) are: \[ x = 1 \quad \text{and} \quad x = -1 \]