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Simplifying 2e2g + 2fg + 4e2h + 4fh = 0 Reorder the terms: 2e2g + 4e2h + 2fg + 4fh = 0 Solving 2e2g + 4e2h + 2fg + 4fh = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2fg' to each side of the equation. 2e2g + 4e2h + 2fg + -2fg + 4fh = 0 + -2fg Combine like terms: 2fg + -2fg = 0 2e2g + 4e2h + 0 + 4fh = 0 + -2fg 2e2g + 4e2h + 4fh = 0 + -2fg Remove the zero: 2e2g + 4e2h + 4fh = -2fg Add '-4fh' to each side of the equation. 2e2g + 4e2h + 4fh + -4fh = -2fg + -4fh Combine like terms: 4fh + -4fh = 0 2e2g + 4e2h + 0 = -2fg + -4fh 2e2g + 4e2h = -2fg + -4fh Reorder the terms: 2e2g + 4e2h + 2fg + 4fh = -2fg + 2fg + -4fh + 4fh Combine like terms: -2fg + 2fg = 0 2e2g + 4e2h + 2fg + 4fh = 0 + -4fh + 4fh 2e2g + 4e2h + 2fg + 4fh = -4fh + 4fh Combine like terms: -4fh + 4fh = 0 2e2g + 4e2h + 2fg + 4fh = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(e2g + 2e2h + fg + 2fh) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(e2g + 2e2h + fg + 2fh)' equal to zero and attempt to solve: Simplifying e2g + 2e2h + fg + 2fh = 0 Solving e2g + 2e2h + fg + 2fh = 0 Move all terms containing e to the left, all other terms to the right. Add '-1fg' to each side of the equation. e2g + 2e2h + fg + -1fg + 2fh = 0 + -1fg Combine like terms: fg + -1fg = 0 e2g + 2e2h + 0 + 2fh = 0 + -1fg e2g + 2e2h + 2fh = 0 + -1fg Remove the zero: e2g + 2e2h + 2fh = -1fg Add '-2fh' to each side of the equation. e2g + 2e2h + 2fh + -2fh = -1fg + -2fh Combine like terms: 2fh + -2fh = 0 e2g + 2e2h + 0 = -1fg + -2fh e2g + 2e2h = -1fg + -2fh 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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