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