olve for \( u \), where \( u \) is a real number. \[ \sqrt{u+56}=\sqrt{u}+4 \] If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Solve the equation \( \sqrt{u+56}=\sqrt{u}+4 \). Solve the equation by following steps: - step0: Solve for \(u\): \(\sqrt{u+56}=\sqrt{u}+4\) - step1: Find the domain: \(\sqrt{u+56}=\sqrt{u}+4,u\geq 0\) - step2: Raise both sides to the \(2\)-th power\(:\) \(\left(\sqrt{u+56}\right)^{2}=\left(\sqrt{u}+4\right)^{2}\) - step3: Evaluate the power: \(u+56=u+8\sqrt{u}+16\) - step4: Cancel equal terms: \(56=8\sqrt{u}+16\) - step5: Swap the sides: \(8\sqrt{u}+16=56\) - step6: Move the constant to the right side: \(8\sqrt{u}=56-16\) - step7: Calculate: \(8\sqrt{u}=40\) - step8: Divide both sides: \(\sqrt{u}=5\) - step9: Raise both sides to the \(2\)-th power\(:\) \(\left(\sqrt{u}\right)^{2}=5^{2}\) - step10: Evaluate the power: \(u=25\) - step11: Check if the solution is in the defined range: \(u=25,u\geq 0\) - step12: Find the intersection: \(u=25\) - step13: Check the solution: \(u=25\) The solution to the equation \( \sqrt{u+56}=\sqrt{u}+4 \) is \( u=25 \).