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Simplifying 100 = 600e2q Solving 100 = 600e2q Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-600e2q' to each side of the equation. 100 + -600e2q = 600e2q + -600e2q Combine like terms: 600e2q + -600e2q = 0 100 + -600e2q = 0 Add '-100' to each side of the equation. 100 + -100 + -600e2q = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -600e2q = 0 + -100 -600e2q = 0 + -100 Combine like terms: 0 + -100 = -100 -600e2q = -100 Divide each side by '-600q'. e2 = 0.1666666667q-1 Simplifying e2 = 0.1666666667q-1 Combine like terms: 0.1666666667q-1 + -0.1666666667q-1 = 0.0000000000 e2 + -0.1666666667q-1 = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'q-1'. q-1(e2q + -0.1666666667) = 0.0000000000Subproblem 1
Set the factor 'q-1' equal to zero and attempt to solve: Simplifying q-1 = 0 Solving q-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1q-1' to each side of the equation. q-1 + -1q-1 = 0 + -1q-1 Remove the zero: 0 = -1q-1 Simplifying 0 = -1q-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(e2q + -0.1666666667)' equal to zero and attempt to solve: Simplifying e2q + -0.1666666667 = 0 Reorder the terms: -0.1666666667 + e2q = 0 Solving -0.1666666667 + e2q = 0 Move all terms containing e to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + e2q = 0 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + e2q = 0 + 0.1666666667 e2q = 0 + 0.1666666667 Combine like terms: 0 + 0.1666666667 = 0.1666666667 e2q = 0.1666666667 Divide each side by 'q'. e2 = 0.1666666667q-1 Simplifying e2 = 0.1666666667q-1 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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