Question Solve for x: sqrt (4x+44)+16=22 Answer Attemptsout of 3 x=square

To solve for x, we need to isolate the variable x on one side of the equation.<br /><br />Given equation: $\sqrt {4x+44}+16=22$<br /><br />Step 1: Subtract 16 from both sides of the equation to isolate the square root term.<br />$\sqrt {4x+44} = 22 - 16$<br />$\sqrt {4x+44} = 6$<br /><br />Step 2: Square both sides of the equation to eliminate the square root.<br />$(\sqrt {4x+44})^2 = 6^2$<br />$4x + 44 = 36$<br /><br />Step 3: Subtract 44 from both sides of the equation to isolate the term with x.<br />$4x = 36 - 44$<br />$4x = -8$<br /><br />Step 4: Divide both sides of the equation by 4 to solve for x.<br />$x = \frac{-8}{4}$<br />$x = -2$<br /><br />Therefore, the solution to the equation is $x = -2$.