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Simplifying -9 = 18x2 + 5x Reorder the terms: -9 = 5x + 18x2 Solving -9 = 5x + 18x2 Solving for variable 'x'. Reorder the terms: -9 + -5x + -18x2 = 5x + -5x + 18x2 + -18x2 Combine like terms: 5x + -5x = 0 -9 + -5x + -18x2 = 0 + 18x2 + -18x2 -9 + -5x + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -9 + -5x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 5x + 18x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 5x + 18x2)' equal to zero and attempt to solve: Simplifying 9 + 5x + 18x2 = 0 Solving 9 + 5x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.5 + 0.2777777778x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.2777777778x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.2777777778x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.2777777778x + x2 = 0 + -0.5 0.2777777778x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.2777777778x + x2 = -0.5 The x term is 0.2777777778x. Take half its coefficient (0.1388888889). Square it (0.01929012346) and add it to both sides. Add '0.01929012346' to each side of the equation. 0.2777777778x + 0.01929012346 + x2 = -0.5 + 0.01929012346 Reorder the terms: 0.01929012346 + 0.2777777778x + x2 = -0.5 + 0.01929012346 Combine like terms: -0.5 + 0.01929012346 = -0.48070987654 0.01929012346 + 0.2777777778x + x2 = -0.48070987654 Factor a perfect square on the left side: (x + 0.1388888889)(x + 0.1388888889) = -0.48070987654 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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