Let's solve your equation step-by-step.4x2+2(2x+2)2=100Step 1: Simplify both sides of the equation.12x2+16x+8=100Step 2: Subtract 100 from both sides.12x2+16x+8−100=100−10012x2+16x−92=0Step 3: Use quadratic formula with a=12, b=16, c=-92.x=−b±√b2−4ac2ax=−(16)±√(16)2−4(12)(−92)2(12)x=−16±√467224x=−23+13√73 or x=−23+−13√73Answer:x=−23+13√73 or x=−23+−13√73
