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Simplifying 14e9t = 20e7t Solving 14e9t = 20e7t Solving for variable 'e'. Reorder the terms: -20e7t + 14e9t = 20e7t + -20e7t Combine like terms: 20e7t + -20e7t = 0 -20e7t + 14e9t = 0 Factor out the Greatest Common Factor (GCF), '2e7t'. 2e7t(-10 + 7e2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'e7t' equal to zero and attempt to solve: Simplifying e7t = 0 Solving e7t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e7t = 0 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 '(-10 + 7e2)' equal to zero and attempt to solve: Simplifying -10 + 7e2 = 0 Solving -10 + 7e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7e2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7e2 = 0 + 10 7e2 = 0 + 10 Combine like terms: 0 + 10 = 10 7e2 = 10 Divide each side by '7'. e2 = 1.428571429 Simplifying e2 = 1.428571429 Take the square root of each side: e = {-1.19522861, 1.19522861}Solution
e = {-1.19522861, 1.19522861}
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