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Simplifying 7g2h + -11h + -16hg2 + 4gh = 0 Reorder the terms: 4gh + 7g2h + -16g2h + -11h = 0 Combine like terms: 7g2h + -16g2h = -9g2h 4gh + -9g2h + -11h = 0 Solving 4gh + -9g2h + -11h = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'h'. h(4g + -9g2 + -11) = 0Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing g to the left, all other terms to the right. Add '-1h' to each side of the equation. h + -1h = 0 + -1h Remove the zero: 0 = -1h Simplifying 0 = -1h The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4g + -9g2 + -11)' equal to zero and attempt to solve: Simplifying 4g + -9g2 + -11 = 0 Reorder the terms: -11 + 4g + -9g2 = 0 Solving -11 + 4g + -9g2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 1.222222222 + -0.4444444444g + g2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + -0.4444444444g + -1.222222222 + g2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + -0.4444444444g + g2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + -0.4444444444g + g2 = 0 + -1.222222222 -0.4444444444g + g2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 -0.4444444444g + g2 = -1.222222222 The g term is -0.4444444444g. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444g + 0.04938271604 + g2 = -1.222222222 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444g + g2 = -1.222222222 + 0.04938271604 Combine like terms: -1.222222222 + 0.04938271604 = -1.17283950596 0.04938271604 + -0.4444444444g + g2 = -1.17283950596 Factor a perfect square on the left side: (g + -0.2222222222)(g + -0.2222222222) = -1.17283950596 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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