Square Both Sides: Square both sides of the equation to eliminate the square roots.(–8x−5)2=(–3x)2–8x−5=–3x
Move Variable Terms: Move the variable terms to one side of the equation by adding 8x to both sides.−8x−5+8x=−3x+8x−5=5x
Divide Both Sides: Divide both sides by 5 to solve for x.5−5=55x$x=−1)
Check Solution: Check the solution by substituting x=−1 back into the original equation.(−8(−1)−5)=(−3(−1))(8−5)=(3)(3)=(3)This confirms that x=−1 is a valid solution.