\( \sqrt { 9 x + 7 - 4 = 0 } \)

Solve the equation \( \sqrt{9x+7}-4=0 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\sqrt{9x+7}-4=0\) - step1: Find the domain: \(\sqrt{9x+7}-4=0,x\geq -\frac{7}{9}\) - step2: Move the constant to the right side: \(\sqrt{9x+7}=0+4\) - step3: Remove 0: \(\sqrt{9x+7}=4\) - step4: Raise both sides to the \(2\)-th power\(:\) \(\left(\sqrt{9x+7}\right)^{2}=4^{2}\) - step5: Evaluate the power: \(9x+7=16\) - step6: Move the constant to the right side: \(9x=16-7\) - step7: Subtract the numbers: \(9x=9\) - step8: Divide both sides: \(\frac{9x}{9}=\frac{9}{9}\) - step9: Divide the numbers: \(x=1\) - step10: Check if the solution is in the defined range: \(x=1,x\geq -\frac{7}{9}\) - step11: Find the intersection: \(x=1\) - step12: Check the solution: \(x=1\) The solution to the equation \( \sqrt{9x+7}-4=0 \) is \( x=1 \).