Question

Solve by taking the square root of both sides.

(3x+3)^2=25

Answer 1

Any equation with something squared in it has two solutions.

                                                       (3x + 3)² = 25

Take the square root of each side:  (3x + 3) = +5
                                                         (3x + 3) = -5

Subtract  3  from each side:              3x  =  2
                                                           3x =  -8

Divide each side by  3 :                       x = 2/3
                                                            x = -8/3
 

Answer 2

solve your equation step-by-step.

(3x+3)2=25

Simplify both sides of the equation.

9x2+18x+9=25

Subtract 25 from both sides.

9x2+18x+9−25=25−25

9x2+18x−16=0

Factor left side of equation.

(3x−2)(3x+8)=0

Set factors equal to 0.

3x−2=0 or 3x+8=0

x=2/3 or x=−8/3