\( \mid \leftarrow \quad \) Solve. \( \quad-\sqrt{10 x}+1=-9 \)

To solve the equation \(-\sqrt{10x} + 1 = -9\), first, isolate the square root term. Subtract 1 from both sides: \(-\sqrt{10x} = -10\). Next, multiply both sides by -1: \(\sqrt{10x} = 10\). Now, square both sides to eliminate the square root: \(10x = 100\). Finally, divide both sides by 10 to solve for \(x\): \(x = 10\). So, the solution is \( x = 10 \). To ensure it’s correct, substitute \(x = 10\) back into the original equation: \(-\sqrt{10(10)} + 1 = -9 \implies -\sqrt{100} + 1 = -9 \implies -10 + 1 = -9\), which is true. Therefore, \(x = 10\) is indeed the correct solution!