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Simplifying (2e2 + -5e) + (7e + -3e2) = 0 Reorder the terms: (-5e + 2e2) + (7e + -3e2) = 0 Remove parenthesis around (-5e + 2e2) -5e + 2e2 + (7e + -3e2) = 0 Remove parenthesis around (7e + -3e2) -5e + 2e2 + 7e + -3e2 = 0 Reorder the terms: -5e + 7e + 2e2 + -3e2 = 0 Combine like terms: -5e + 7e = 2e 2e + 2e2 + -3e2 = 0 Combine like terms: 2e2 + -3e2 = -1e2 2e + -1e2 = 0 Solving 2e + -1e2 = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e'. e(2 + -1e) = 0Subproblem 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 '(2 + -1e)' equal to zero and attempt to solve: Simplifying 2 + -1e = 0 Solving 2 + -1e = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1e = 0 + -2 -1e = 0 + -2 Combine like terms: 0 + -2 = -2 -1e = -2 Divide each side by '-1'. e = 2 Simplifying e = 2Solution
e = {0, 2}
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