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Simplifying 500 = 5e9x Solving 500 = 5e9x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e9x' to each side of the equation. 500 + -5e9x = 5e9x + -5e9x Combine like terms: 5e9x + -5e9x = 0 500 + -5e9x = 0 Add '-500' to each side of the equation. 500 + -500 + -5e9x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -5e9x = 0 + -500 -5e9x = 0 + -500 Combine like terms: 0 + -500 = -500 -5e9x = -500 Divide each side by '-5x'. e9 = 100x-1 Simplifying e9 = 100x-1 Combine like terms: 100x-1 + -100x-1 = 0 e9 + -100x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e9x + -100) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e9x + -100)' equal to zero and attempt to solve: Simplifying e9x + -100 = 0 Reorder the terms: -100 + e9x = 0 Solving -100 + e9x = 0 Move all terms containing e to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + e9x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + e9x = 0 + 100 e9x = 0 + 100 Combine like terms: 0 + 100 = 100 e9x = 100 Divide each side by 'x'. e9 = 100x-1 Simplifying e9 = 100x-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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