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Simplifying (2 + -1d) * g + -3d(4 + g) = 0 Reorder the terms for easier multiplication: g(2 + -1d) + -3d(4 + g) = 0 (2 * g + -1d * g) + -3d(4 + g) = 0 Reorder the terms: (-1dg + 2g) + -3d(4 + g) = 0 (-1dg + 2g) + -3d(4 + g) = 0 -1dg + 2g + (4 * -3d + g * -3d) = 0 -1dg + 2g + (-12d + -3dg) = 0 Reorder the terms: -12d + -1dg + -3dg + 2g = 0 Combine like terms: -1dg + -3dg = -4dg -12d + -4dg + 2g = 0 Solving -12d + -4dg + 2g = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2g' to each side of the equation. -12d + -4dg + 2g + -2g = 0 + -2g Combine like terms: 2g + -2g = 0 -12d + -4dg + 0 = 0 + -2g -12d + -4dg = 0 + -2g Remove the zero: -12d + -4dg = -2g Combine like terms: -2g + 2g = 0 -12d + -4dg + 2g = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6d + -2dg + g) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6d + -2dg + g)' equal to zero and attempt to solve: Simplifying -6d + -2dg + g = 0 Solving -6d + -2dg + g = 0 Move all terms containing d to the left, all other terms to the right. Add '-1g' to each side of the equation. -6d + -2dg + g + -1g = 0 + -1g Combine like terms: g + -1g = 0 -6d + -2dg + 0 = 0 + -1g -6d + -2dg = 0 + -1g Remove the zero: -6d + -2dg = -1g 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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