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Simplifying (26x2) + -1(64x) + 128 = 0 Remove parenthesis around (64x) (26x2) + -1 * 64x + 128 = 0 Multiply -1 * 64 (26x2) + -64x + 128 = 0 Reorder the terms: 128 + -64x + (26x2) = 0 Solving 128 + -64x + (26x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(64 + -32x + (13x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(64 + -32x + (13x2))' equal to zero and attempt to solve: Simplifying 64 + -32x + (13x2) = 0 Solving 64 + -32x + (13x2) = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 4.923076923 + -2.461538462x + x2 = 0 Move the constant term to the right: Add '-4.923076923' to each side of the equation. 4.923076923 + -2.461538462x + -4.923076923 + x2 = 0 + -4.923076923 Reorder the terms: 4.923076923 + -4.923076923 + -2.461538462x + x2 = 0 + -4.923076923 Combine like terms: 4.923076923 + -4.923076923 = 0.000000000 0.000000000 + -2.461538462x + x2 = 0 + -4.923076923 -2.461538462x + x2 = 0 + -4.923076923 Combine like terms: 0 + -4.923076923 = -4.923076923 -2.461538462x + x2 = -4.923076923 The x term is -2.461538462x. Take half its coefficient (-1.230769231). Square it (1.514792900) and add it to both sides. Add '1.514792900' to each side of the equation. -2.461538462x + 1.514792900 + x2 = -4.923076923 + 1.514792900 Reorder the terms: 1.514792900 + -2.461538462x + x2 = -4.923076923 + 1.514792900 Combine like terms: -4.923076923 + 1.514792900 = -3.408284023 1.514792900 + -2.461538462x + x2 = -3.408284023 Factor a perfect square on the left side: ((x) + -1.230769231)((x) + -1.230769231) = -3.408284023 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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