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Simplifying 35x + 110 = -45x2 Reorder the terms: 110 + 35x = -45x2 Solving 110 + 35x = -45x2 Solving for variable 'x'. Combine like terms: -45x2 + 45x2 = 0 110 + 35x + 45x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(22 + 7x + 9x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(22 + 7x + 9x2)' equal to zero and attempt to solve: Simplifying 22 + 7x + 9x2 = 0 Solving 22 + 7x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.444444444 + 0.7777777778x + x2 = 0 Move the constant term to the right: Add '-2.444444444' to each side of the equation. 2.444444444 + 0.7777777778x + -2.444444444 + x2 = 0 + -2.444444444 Reorder the terms: 2.444444444 + -2.444444444 + 0.7777777778x + x2 = 0 + -2.444444444 Combine like terms: 2.444444444 + -2.444444444 = 0.000000000 0.000000000 + 0.7777777778x + x2 = 0 + -2.444444444 0.7777777778x + x2 = 0 + -2.444444444 Combine like terms: 0 + -2.444444444 = -2.444444444 0.7777777778x + x2 = -2.444444444 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 = -2.444444444 + 0.1512345679 Reorder the terms: 0.1512345679 + 0.7777777778x + x2 = -2.444444444 + 0.1512345679 Combine like terms: -2.444444444 + 0.1512345679 = -2.2932098761 0.1512345679 + 0.7777777778x + x2 = -2.2932098761 Factor a perfect square on the left side: (x + 0.3888888889)(x + 0.3888888889) = -2.2932098761 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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