25x + -1x2 = 100Solving25x + -1x2 = 100Solving for variable 'x'.Reorder the TERMS:-100 + 25x + -1x2 = 100 + -100Combine like terms: 100 + -100 = 0-100 + 25x + -1x2 = 0Factor a trinomial.(-20 + x)(5 + -1x) = 0Subproblem 1Set the factor '(-20 + x)' equal to zero and attempt to solve:Simplifying-20 + x = 0Solving-20 + x = 0Move all terms CONTAINING x to the left, all other terms to the right.Add '20' to each side of the equation.-20 + 20 + x = 0 + 20Combine like terms: -20 + 20 = 00 + x = 0 + 20x = 0 + 20Combine like terms: 0 + 20 = 20x = 20Simplifyingx = 20Subproblem 2Set the factor '(5 + -1x)' equal to zero and attempt to solve:Simplifying5 + -1x = 0Solving5 + -1x = 0Move all terms containing x to the left, all other terms to the right.Add '-5' to each side of the equation.5 + -5 + -1x = 0 + -5Combine like terms: 5 + -5 = 00 + -1x = 0 + -5-1x = 0 + -5Combine like terms: 0 + -5 = -5-1x = -5Divide each side by '-1'.x = 5Simplifyingx = 5Solutionx = {20, 5}Step-by-step explanation:clear ho jai ga