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Simplifying 18x2 + 14x + 14 = 0 Reorder the terms: 14 + 14x + 18x2 = 0 Solving 14 + 14x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 7x + 9x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 7x + 9x2)' equal to zero and attempt to solve: Simplifying 7 + 7x + 9x2 = 0 Solving 7 + 7x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.7777777778 + 0.7777777778x + x2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + 0.7777777778x + -0.7777777778 + x2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + 0.7777777778x + x2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + 0.7777777778x + x2 = 0 + -0.7777777778 0.7777777778x + x2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 0.7777777778x + x2 = -0.7777777778 The x term is 0.7777777778x. Take half its coefficient (0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. 0.7777777778x + 0.1512345679 + x2 = -0.7777777778 + 0.1512345679 Reorder the terms: 0.1512345679 + 0.7777777778x + x2 = -0.7777777778 + 0.1512345679 Combine like terms: -0.7777777778 + 0.1512345679 = -0.6265432099 0.1512345679 + 0.7777777778x + x2 = -0.6265432099 Factor a perfect square on the left side: (x + 0.3888888889)(x + 0.3888888889) = -0.6265432099 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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