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Simplifying 2e(3e + -1h + 2m) = 0 (3e * 2e + -1h * 2e + 2m * 2e) = 0 Reorder the terms: (-2eh + 4em + 6e2) = 0 (-2eh + 4em + 6e2) = 0 Solving -2eh + 4em + 6e2 = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), '2e'. 2e(-1h + 2m + 3e) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'e' equal to zero and attempt to solve: Simplifying e = 0 Solving e = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e = 0Subproblem 2
Set the factor '(-1h + 2m + 3e)' equal to zero and attempt to solve: Simplifying -1h + 2m + 3e = 0 Reorder the terms: 3e + -1h + 2m = 0 Solving 3e + -1h + 2m = 0 Move all terms containing e to the left, all other terms to the right. Add 'h' to each side of the equation. 3e + -1h + h + 2m = 0 + h Combine like terms: -1h + h = 0 3e + 0 + 2m = 0 + h 3e + 2m = 0 + h Remove the zero: 3e + 2m = h Add '-2m' to each side of the equation. 3e + 2m + -2m = h + -2m Combine like terms: 2m + -2m = 0 3e + 0 = h + -2m 3e = h + -2m Divide each side by '3'. e = 0.3333333333h + -0.6666666667m Simplifying e = 0.3333333333h + -0.6666666667mSolution
e = {0, 0.3333333333h + -0.6666666667m}
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