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Simplifying -11X2 + -13X + -5 = 0 Reorder the terms: -5 + -13X + -11X2 = 0 Solving -5 + -13X + -11X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 13X + 11X2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 13X + 11X2)' equal to zero and attempt to solve: Simplifying 5 + 13X + 11X2 = 0 Solving 5 + 13X + 11X2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.4545454545 + 1.181818182X + X2 = 0 Move the constant term to the right: Add '-0.4545454545' to each side of the equation. 0.4545454545 + 1.181818182X + -0.4545454545 + X2 = 0 + -0.4545454545 Reorder the terms: 0.4545454545 + -0.4545454545 + 1.181818182X + X2 = 0 + -0.4545454545 Combine like terms: 0.4545454545 + -0.4545454545 = 0.0000000000 0.0000000000 + 1.181818182X + X2 = 0 + -0.4545454545 1.181818182X + X2 = 0 + -0.4545454545 Combine like terms: 0 + -0.4545454545 = -0.4545454545 1.181818182X + X2 = -0.4545454545 The X term is 1.181818182X. Take half its coefficient (0.590909091). Square it (0.3491735538) and add it to both sides. Add '0.3491735538' to each side of the equation. 1.181818182X + 0.3491735538 + X2 = -0.4545454545 + 0.3491735538 Reorder the terms: 0.3491735538 + 1.181818182X + X2 = -0.4545454545 + 0.3491735538 Combine like terms: -0.4545454545 + 0.3491735538 = -0.1053719007 0.3491735538 + 1.181818182X + X2 = -0.1053719007 Factor a perfect square on the left side: (X + 0.590909091)(X + 0.590909091) = -0.1053719007 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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