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Simplifying -13x2 + -33x + -29 = 0 Reorder the terms: -29 + -33x + -13x2 = 0 Solving -29 + -33x + -13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(29 + 33x + 13x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(29 + 33x + 13x2)' equal to zero and attempt to solve: Simplifying 29 + 33x + 13x2 = 0 Solving 29 + 33x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 2.230769231 + 2.538461538x + x2 = 0 Move the constant term to the right: Add '-2.230769231' to each side of the equation. 2.230769231 + 2.538461538x + -2.230769231 + x2 = 0 + -2.230769231 Reorder the terms: 2.230769231 + -2.230769231 + 2.538461538x + x2 = 0 + -2.230769231 Combine like terms: 2.230769231 + -2.230769231 = 0.000000000 0.000000000 + 2.538461538x + x2 = 0 + -2.230769231 2.538461538x + x2 = 0 + -2.230769231 Combine like terms: 0 + -2.230769231 = -2.230769231 2.538461538x + x2 = -2.230769231 The x term is 2.538461538x. Take half its coefficient (1.269230769). Square it (1.610946745) and add it to both sides. Add '1.610946745' to each side of the equation. 2.538461538x + 1.610946745 + x2 = -2.230769231 + 1.610946745 Reorder the terms: 1.610946745 + 2.538461538x + x2 = -2.230769231 + 1.610946745 Combine like terms: -2.230769231 + 1.610946745 = -0.619822486 1.610946745 + 2.538461538x + x2 = -0.619822486 Factor a perfect square on the left side: (x + 1.269230769)(x + 1.269230769) = -0.619822486 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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