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Simplifying 12g2 + -16g + 30 = 0 Reorder the terms: 30 + -16g + 12g2 = 0 Solving 30 + -16g + 12g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -8g + 6g2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -8g + 6g2)' equal to zero and attempt to solve: Simplifying 15 + -8g + 6g2 = 0 Solving 15 + -8g + 6g2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.5 + -1.333333333g + g2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.333333333g + -2.5 + g2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.333333333g + g2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.333333333g + g2 = 0 + -2.5 -1.333333333g + g2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.333333333g + g2 = -2.5 The g term is -1.333333333g. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333g + 0.4444444442 + g2 = -2.5 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333g + g2 = -2.5 + 0.4444444442 Combine like terms: -2.5 + 0.4444444442 = -2.0555555558 0.4444444442 + -1.333333333g + g2 = -2.0555555558 Factor a perfect square on the left side: (g + -0.6666666665)(g + -0.6666666665) = -2.0555555558 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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