Answered by AI, Verified by Human Experts
On substituting the values from option C and D, the LHS is equal to the RHS. Therefore, the solutions to the equation are options C and D.To solve the equation, we need to find the values of (x) that satisfy the equation. Let's solve it step by step and then check each option:1. Expand the equation:expands to.2. Move constant to the other side:Subtracting (7) from both sides, we get.3. Factor the quadratic equation:We can factor.4. Set each factor equal to zero and solve for (x):Setting, we get.Setting, we get.Now, let's check each option:A.:Substituting this value into the equation, we get:Simplifying inside the parentheses:Expanding:This is not true, so option A is not a solution.B.:Substituting this value into the equation, we get:Simplifying inside the parentheses:Expanding:This is not true, so option B is not a solution.C.:Substituting this value into the equation, we get:Simplifying inside the parentheses:This is true, so option C is a solution.D.:Substituting this value into the equation, we get:Simplifying inside the parentheses:This is true, so option D is a solution.E.:This value is not a solution to the equationas it doesn't satisfy the equation when substituted.F.:This value is not a solution to the equationas it doesn't satisfy the equation when substituted.Therefore, the solutions to the equation are options C and D....