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Simplifying 18 + 3e + 7(4e + -1) * e = 0 Reorder the terms: 18 + 3e + 7(-1 + 4e) * e = 0 Reorder the terms for easier multiplication: 18 + 3e + 7e(-1 + 4e) = 0 18 + 3e + (-1 * 7e + 4e * 7e) = 0 18 + 3e + (-7e + 28e2) = 0 Combine like terms: 3e + -7e = -4e 18 + -4e + 28e2 = 0 Solving 18 + -4e + 28e2 = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -2e + 14e2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -2e + 14e2)' equal to zero and attempt to solve: Simplifying 9 + -2e + 14e2 = 0 Solving 9 + -2e + 14e2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.6428571429 + -0.1428571429e + e2 = 0 Move the constant term to the right: Add '-0.6428571429' to each side of the equation. 0.6428571429 + -0.1428571429e + -0.6428571429 + e2 = 0 + -0.6428571429 Reorder the terms: 0.6428571429 + -0.6428571429 + -0.1428571429e + e2 = 0 + -0.6428571429 Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000 0.0000000000 + -0.1428571429e + e2 = 0 + -0.6428571429 -0.1428571429e + e2 = 0 + -0.6428571429 Combine like terms: 0 + -0.6428571429 = -0.6428571429 -0.1428571429e + e2 = -0.6428571429 The e term is -0.1428571429e. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429e + 0.005102040819 + e2 = -0.6428571429 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429e + e2 = -0.6428571429 + 0.005102040819 Combine like terms: -0.6428571429 + 0.005102040819 = -0.637755102081 0.005102040819 + -0.1428571429e + e2 = -0.637755102081 Factor a perfect square on the left side: (e + -0.07142857145)(e + -0.07142857145) = -0.637755102081 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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