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Simplifying 90g2 + -62g + 16 = 0 Reorder the terms: 16 + -62g + 90g2 = 0 Solving 16 + -62g + 90g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -31g + 45g2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -31g + 45g2)' equal to zero and attempt to solve: Simplifying 8 + -31g + 45g2 = 0 Solving 8 + -31g + 45g2 = 0 Begin completing the square. Divide all terms by 45 the coefficient of the squared term: Divide each side by '45'. 0.1777777778 + -0.6888888889g + g2 = 0 Move the constant term to the right: Add '-0.1777777778' to each side of the equation. 0.1777777778 + -0.6888888889g + -0.1777777778 + g2 = 0 + -0.1777777778 Reorder the terms: 0.1777777778 + -0.1777777778 + -0.6888888889g + g2 = 0 + -0.1777777778 Combine like terms: 0.1777777778 + -0.1777777778 = 0.0000000000 0.0000000000 + -0.6888888889g + g2 = 0 + -0.1777777778 -0.6888888889g + g2 = 0 + -0.1777777778 Combine like terms: 0 + -0.1777777778 = -0.1777777778 -0.6888888889g + g2 = -0.1777777778 The g term is -0.6888888889g. Take half its coefficient (-0.3444444445). Square it (0.1186419753) and add it to both sides. Add '0.1186419753' to each side of the equation. -0.6888888889g + 0.1186419753 + g2 = -0.1777777778 + 0.1186419753 Reorder the terms: 0.1186419753 + -0.6888888889g + g2 = -0.1777777778 + 0.1186419753 Combine like terms: -0.1777777778 + 0.1186419753 = -0.0591358025 0.1186419753 + -0.6888888889g + g2 = -0.0591358025 Factor a perfect square on the left side: (g + -0.3444444445)(g + -0.3444444445) = -0.0591358025 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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