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Simplifying 3(4g + 1) * g = 8 + -1(3G + 2) Reorder the terms: 3(1 + 4g) * g = 8 + -1(3G + 2) Reorder the terms for easier multiplication: 3g(1 + 4g) = 8 + -1(3G + 2) (1 * 3g + 4g * 3g) = 8 + -1(3G + 2) (3g + 12g2) = 8 + -1(3G + 2) Reorder the terms: 3g + 12g2 = 8 + -1(2 + 3G) 3g + 12g2 = 8 + (2 * -1 + 3G * -1) 3g + 12g2 = 8 + (-2 + -3G) Combine like terms: 8 + -2 = 6 3g + 12g2 = 6 + -3G Solving 3g + 12g2 = 6 + -3G Solving for variable 'g'. Reorder the terms: -6 + 3G + 3g + 12g2 = 6 + -3G + -6 + 3G Reorder the terms: -6 + 3G + 3g + 12g2 = 6 + -6 + -3G + 3G Combine like terms: 6 + -6 = 0 -6 + 3G + 3g + 12g2 = 0 + -3G + 3G -6 + 3G + 3g + 12g2 = -3G + 3G Combine like terms: -3G + 3G = 0 -6 + 3G + 3g + 12g2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + G + g + 4g2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + G + g + 4g2)' equal to zero and attempt to solve: Simplifying -2 + G + g + 4g2 = 0 Solving -2 + G + g + 4g2 = 0 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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