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Simplifying 4e(exp(3t)) = 7e(exp(2t)) Remove parenthesis around (3t) 4e(epx * 3t) = 7e(exp(2t)) Reorder the terms for easier multiplication: 4e(3epx * t) = 7e(exp(2t)) Multiply epx * t 4e(3eptx) = 7e(exp(2t)) Remove parenthesis around (3eptx) 4e * 3eptx = 7e(exp(2t)) Reorder the terms for easier multiplication: 4 * 3e * eptx = 7e(exp(2t)) Multiply 4 * 3 12e * eptx = 7e(exp(2t)) Multiply e * eptx 12e2ptx = 7e(exp(2t)) Remove parenthesis around (2t) 12e2ptx = 7e(epx * 2t) Reorder the terms for easier multiplication: 12e2ptx = 7e(2epx * t) Multiply epx * t 12e2ptx = 7e(2eptx) Remove parenthesis around (2eptx) 12e2ptx = 7e * 2eptx Reorder the terms for easier multiplication: 12e2ptx = 7 * 2e * eptx Multiply 7 * 2 12e2ptx = 14e * eptx Multiply e * eptx 12e2ptx = 14e2ptx Solving 12e2ptx = 14e2ptx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-14e2ptx' to each side of the equation. 12e2ptx + -14e2ptx = 14e2ptx + -14e2ptx Combine like terms: 12e2ptx + -14e2ptx = -2e2ptx -2e2ptx = 14e2ptx + -14e2ptx Combine like terms: 14e2ptx + -14e2ptx = 0 -2e2ptx = 0 Divide each side by '-2'. e2ptx = 0 Simplifying e2ptx = 0 The solution to this equation could not be determined.
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