(2m + 1)(2m + 1) = 4m + 2Simplifying(2m + 1)(2m + 1) = 4m + 2Reorder the terms:(1 + 2m)(2m + 1) = 4m + 2Reorder the terms:(1 + 2m)(1 + 2m) = 4m + 2Multiply (1 + 2m) * (1 + 2m)(1(1 + 2m) + 2m * (1 + 2m)) = 4m + 2((1 * 1 + 2m * 1) + 2m * (1 + 2m)) = 4m + 2((1 + 2m) + 2m * (1 + 2m)) = 4m + 2(1 + 2m + (1 * 2m + 2m * 2m)) = 4m + 2(1 + 2m + (2m + 4m2)) = 4m + 2Combine like terms: 2m + 2m = 4m(1 + 4m + 4m2) = 4m + 2Reorder the terms:1 + 4m + 4m2 = 2 + 4mAdd '-4m' to each side of the equation.1 + 4m + -4m + 4m2 = 2 + 4m + -4mCombine like terms: 4m + -4m = 01 + 0 + 4m2 = 2 + 4m + -4m1 + 4m2 = 2 + 4m + -4mCombine like terms: 4m + -4m = 01 + 4m2 = 2 + 01 + 4m2 = 2Solving1 + 4m2 = 2Solving for variable 'm'.Move all terms containing m to the left, all other terms to the right.Add '-1' to each side of the equation.1 + -1 + 4m2 = 2 + -1Combine like terms: 1 + -1 = 00 + 4m2 = 2 + -14m2 = 2 + -1Combine like terms: 2 + -1 = 14m2 = 1Divide each side by '4'.M2 = 0.25Simplifyingm2 = 0.25Reorder the terms:-0.25 + m2 = 0.25 + -0.25Combine like terms: 0.25 + -0.25 = 0-0.25 + m2 = 0Factor a difference between two squares.(0.5 + m)(-0.5 + m) = 0Subproblem 1Set the factor '(0.5 + m)' EQUAL to zero and ATTEMPT to SOLVE:Simplifying0.5 + m = 0Solving0.5 + m = 0Move all terms containing m to the left, all other terms to the right.Add '-0.5' to each side of the equation.0.5 + -0.5 + m = 0 + -0.5Combine like terms: 0.5 + -0.5 = 00 + m = 0 + -0.5m = 0 + -0.5Combine like terms: 0 + -0.5 = -0.5m = -0.5Simplifyingm = -0.5Subproblem 2Set the factor '(-0.5 + m)' equal to zero and attempt to solve:Simplifying-0.5 + m = 0Solving-0.5 + m = 0Move all terms containing m to the left, all other terms to the right.Add '0.5' to each side of the equation.-0.5 + 0.5 + m = 0 + 0.5Combine like terms: -0.5 + 0.5 = 00 + m = 0 + 0.5m = 0 + 0.5Combine like terms: 0 + 0.5 = 0.5m = 0.5Simplifyingm = 0.5Solutionm = {-0.5, 0.5}Equation: Variable: (2m + 1)(2m + 1) = 4m + 2