Question: Solve for w. -5|w + 5| = -50 If there is more than one solution, separate them with commas. If…

Solve for w. -5|w + 5| = -50 If there is more than one solution, separate them with commas. If there is no solution, click on “No solution”. w = [ ]

Solution

To solve the equation \(-5|w + 5| = -50\), follow these steps: First, divide both sides by \(-5\): \[ |w + 5| = 10 \] Next, consider the two cases for the absolute value equation: Case 1: \(w + 5 = 10\) Subtract 5 from both sides: \[ w = 5 \] Case 2: \(w + 5 = -10\) Subtract 5 from both sides: \[ w = -15 \] Therefore, the solutions are \(w = 5\) and \(w = -15\).