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Simplifying (2e + -2f)(2f + 8) = 0 Reorder the terms: (2e + -2f)(8 + 2f) = 0 Multiply (2e + -2f) * (8 + 2f) (2e * (8 + 2f) + -2f * (8 + 2f)) = 0 ((8 * 2e + 2f * 2e) + -2f * (8 + 2f)) = 0 ((16e + 4ef) + -2f * (8 + 2f)) = 0 (16e + 4ef + (8 * -2f + 2f * -2f)) = 0 (16e + 4ef + (-16f + -4f2)) = 0 (16e + 4ef + -16f + -4f2) = 0 Solving 16e + 4ef + -16f + -4f2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '16f' to each side of the equation. 16e + 4ef + -16f + 16f + -4f2 = 0 + 16f Combine like terms: -16f + 16f = 0 16e + 4ef + 0 + -4f2 = 0 + 16f 16e + 4ef + -4f2 = 0 + 16f Remove the zero: 16e + 4ef + -4f2 = 16f Add '4f2' to each side of the equation. 16e + 4ef + -4f2 + 4f2 = 16f + 4f2 Combine like terms: -4f2 + 4f2 = 0 16e + 4ef + 0 = 16f + 4f2 16e + 4ef = 16f + 4f2 Reorder the terms: 16e + 4ef + -16f + -4f2 = 16f + -16f + 4f2 + -4f2 Combine like terms: 16f + -16f = 0 16e + 4ef + -16f + -4f2 = 0 + 4f2 + -4f2 16e + 4ef + -16f + -4f2 = 4f2 + -4f2 Combine like terms: 4f2 + -4f2 = 0 16e + 4ef + -16f + -4f2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4e + ef + -4f + -1f2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4e + ef + -4f + -1f2)' equal to zero and attempt to solve: Simplifying 4e + ef + -4f + -1f2 = 0 Solving 4e + ef + -4f + -1f2 = 0 Move all terms containing e to the left, all other terms to the right. Add '4f' to each side of the equation. 4e + ef + -4f + 4f + -1f2 = 0 + 4f Combine like terms: -4f + 4f = 0 4e + ef + 0 + -1f2 = 0 + 4f 4e + ef + -1f2 = 0 + 4f Remove the zero: 4e + ef + -1f2 = 4f Add 'f2' to each side of the equation. 4e + ef + -1f2 + f2 = 4f + f2 Combine like terms: -1f2 + f2 = 0 4e + ef + 0 = 4f + f2 4e + ef = 4f + f2 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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