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Simplifying 26x2 + 40x + 16 = 0 Reorder the terms: 16 + 40x + 26x2 = 0 Solving 16 + 40x + 26x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 20x + 13x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 20x + 13x2)' equal to zero and attempt to solve: Simplifying 8 + 20x + 13x2 = 0 Solving 8 + 20x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.6153846154 + 1.538461538x + x2 = 0 Move the constant term to the right: Add '-0.6153846154' to each side of the equation. 0.6153846154 + 1.538461538x + -0.6153846154 + x2 = 0 + -0.6153846154 Reorder the terms: 0.6153846154 + -0.6153846154 + 1.538461538x + x2 = 0 + -0.6153846154 Combine like terms: 0.6153846154 + -0.6153846154 = 0.0000000000 0.0000000000 + 1.538461538x + x2 = 0 + -0.6153846154 1.538461538x + x2 = 0 + -0.6153846154 Combine like terms: 0 + -0.6153846154 = -0.6153846154 1.538461538x + x2 = -0.6153846154 The x term is 1.538461538x. Take half its coefficient (0.769230769). Square it (0.5917159760) and add it to both sides. Add '0.5917159760' to each side of the equation. 1.538461538x + 0.5917159760 + x2 = -0.6153846154 + 0.5917159760 Reorder the terms: 0.5917159760 + 1.538461538x + x2 = -0.6153846154 + 0.5917159760 Combine like terms: -0.6153846154 + 0.5917159760 = -0.0236686394 0.5917159760 + 1.538461538x + x2 = -0.0236686394 Factor a perfect square on the left side: (x + 0.769230769)(x + 0.769230769) = -0.0236686394 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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