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Simplifying 0.1 = 5t(e5t) Multiply t * e5t 0.1 = 5e5t2 Solving 0.1 = 5e5t2 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e5t2' to each side of the equation. 0.1 + -5e5t2 = 5e5t2 + -5e5t2 Combine like terms: 5e5t2 + -5e5t2 = 0 0.1 + -5e5t2 = 0 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -5e5t2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -5e5t2 = 0 + -0.1 -5e5t2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -5e5t2 = -0.1 Divide each side by '-5t2'. e5 = 0.02t-2 Simplifying e5 = 0.02t-2 Combine like terms: 0.02t-2 + -0.02t-2 = 0.00 e5 + -0.02t-2 = 0.00 Factor out the Greatest Common Factor (GCF), 't-2'. t-2(e5t2 + -0.02) = 0.00Subproblem 1
Set the factor 't-2' equal to zero and attempt to solve: Simplifying t-2 = 0 Solving t-2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1t-2' to each side of the equation. t-2 + -1t-2 = 0 + -1t-2 Remove the zero: 0 = -1t-2 Simplifying 0 = -1t-2 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 '(e5t2 + -0.02)' equal to zero and attempt to solve: Simplifying e5t2 + -0.02 = 0 Reorder the terms: -0.02 + e5t2 = 0 Solving -0.02 + e5t2 = 0 Move all terms containing e to the left, all other terms to the right. Add '0.02' to each side of the equation. -0.02 + 0.02 + e5t2 = 0 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + e5t2 = 0 + 0.02 e5t2 = 0 + 0.02 Combine like terms: 0 + 0.02 = 0.02 e5t2 = 0.02 Divide each side by 't2'. e5 = 0.02t-2 Simplifying e5 = 0.02t-2 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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