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Simplifying 3e * 3e + 5e = 0 Reorder the terms for easier multiplication: 3 * 3e * e + 5e = 0 Multiply 3 * 3 9e * e + 5e = 0 Multiply e * e 9e2 + 5e = 0 Reorder the terms: 5e + 9e2 = 0 Solving 5e + 9e2 = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e'. e(5 + 9e) = 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 '(5 + 9e)' equal to zero and attempt to solve: Simplifying 5 + 9e = 0 Solving 5 + 9e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9e = 0 + -5 9e = 0 + -5 Combine like terms: 0 + -5 = -5 9e = -5 Divide each side by '9'. e = -0.5555555556 Simplifying e = -0.5555555556Solution
e = {0, -0.5555555556}
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