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Simplifying 75 = 150e10x Solving 75 = 150e10x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-150e10x' to each side of the equation. 75 + -150e10x = 150e10x + -150e10x Combine like terms: 150e10x + -150e10x = 0 75 + -150e10x = 0 Add '-75' to each side of the equation. 75 + -75 + -150e10x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -150e10x = 0 + -75 -150e10x = 0 + -75 Combine like terms: 0 + -75 = -75 -150e10x = -75 Divide each side by '-150x'. e10 = 0.5x-1 Simplifying e10 = 0.5x-1 Combine like terms: 0.5x-1 + -0.5x-1 = 0.0 e10 + -0.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e10x + -0.5) = 0.0Subproblem 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 '(e10x + -0.5)' equal to zero and attempt to solve: Simplifying e10x + -0.5 = 0 Reorder the terms: -0.5 + e10x = 0 Solving -0.5 + e10x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + e10x = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + e10x = 0 + 0.5 e10x = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 e10x = 0.5 Divide each side by 'x'. e10 = 0.5x-1 Simplifying e10 = 0.5x-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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