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Simplifying -84x2 + -13x + -5 = 0 Reorder the terms: -5 + -13x + -84x2 = 0 Solving -5 + -13x + -84x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 13x + 84x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 13x + 84x2)' equal to zero and attempt to solve: Simplifying 5 + 13x + 84x2 = 0 Solving 5 + 13x + 84x2 = 0 Begin completing the square. Divide all terms by 84 the coefficient of the squared term: Divide each side by '84'. 0.05952380952 + 0.1547619048x + x2 = 0 Move the constant term to the right: Add '-0.05952380952' to each side of the equation. 0.05952380952 + 0.1547619048x + -0.05952380952 + x2 = 0 + -0.05952380952 Reorder the terms: 0.05952380952 + -0.05952380952 + 0.1547619048x + x2 = 0 + -0.05952380952 Combine like terms: 0.05952380952 + -0.05952380952 = 0.00000000000 0.00000000000 + 0.1547619048x + x2 = 0 + -0.05952380952 0.1547619048x + x2 = 0 + -0.05952380952 Combine like terms: 0 + -0.05952380952 = -0.05952380952 0.1547619048x + x2 = -0.05952380952 The x term is 0.1547619048x. Take half its coefficient (0.0773809524). Square it (0.005987811794) and add it to both sides. Add '0.005987811794' to each side of the equation. 0.1547619048x + 0.005987811794 + x2 = -0.05952380952 + 0.005987811794 Reorder the terms: 0.005987811794 + 0.1547619048x + x2 = -0.05952380952 + 0.005987811794 Combine like terms: -0.05952380952 + 0.005987811794 = -0.053535997726 0.005987811794 + 0.1547619048x + x2 = -0.053535997726 Factor a perfect square on the left side: (x + 0.0773809524)(x + 0.0773809524) = -0.053535997726 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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