Calculate the two possible values of \( x \) in the following equation: \[ 4\left(9+5 x^{2}\right)=356 \]

To solve the equation: \[ 4\left(9 + 5x^{2}\right) = 356 \] follow these steps to find the possible values of \( x \): ### Step 1: Divide Both Sides by 4 Start by isolating the expression inside the parentheses: \[ 9 + 5x^{2} = \frac{356}{4} \] \[ 9 + 5x^{2} = 89 \] ### Step 2: Subtract 9 from Both Sides \[ 5x^{2} = 89 - 9 \] \[ 5x^{2} = 80 \] ### Step 3: Divide Both Sides by 5 \[ x^{2} = \frac{80}{5} \] \[ x^{2} = 16 \] ### Step 4: Take the Square Root of Both Sides \[ x = \sqrt{16} \quad \text{or} \quad x = -\sqrt{16} \] \[ x = 4 \quad \text{or} \quad x = -4 \] ### Conclusion The two possible values of \( x \) that satisfy the equation are: \[ x = 4 \quad \text{and} \quad x = -4 \]