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Simplifying (b + -1c)(a + -1e) = 1600 Multiply (b + -1c) * (a + -1e) (b(a + -1e) + -1c * (a + -1e)) = 1600 ((a * b + -1e * b) + -1c * (a + -1e)) = 1600 ((ab + -1be) + -1c * (a + -1e)) = 1600 (ab + -1be + (a * -1c + -1e * -1c)) = 1600 (ab + -1be + (-1ac + 1ce)) = 1600 Reorder the terms: (ab + -1ac + -1be + 1ce) = 1600 (ab + -1ac + -1be + 1ce) = 1600 Solving ab + -1ac + -1be + 1ce = 1600 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'be' to each side of the equation. ab + -1ac + -1be + be + 1ce = 1600 + be Combine like terms: -1be + be = 0 ab + -1ac + 0 + 1ce = 1600 + be ab + -1ac + 1ce = 1600 + be Add '-1ce' to each side of the equation. ab + -1ac + 1ce + -1ce = 1600 + be + -1ce Combine like terms: 1ce + -1ce = 0 ab + -1ac + 0 = 1600 + be + -1ce ab + -1ac = 1600 + be + -1ce Reorder the terms: -1600 + ab + -1ac + -1be + ce = 1600 + be + -1ce + -1600 + -1be + ce Reorder the terms: -1600 + ab + -1ac + -1be + ce = 1600 + -1600 + be + -1be + -1ce + ce Combine like terms: 1600 + -1600 = 0 -1600 + ab + -1ac + -1be + ce = 0 + be + -1be + -1ce + ce -1600 + ab + -1ac + -1be + ce = be + -1be + -1ce + ce Combine like terms: be + -1be = 0 -1600 + ab + -1ac + -1be + ce = 0 + -1ce + ce -1600 + ab + -1ac + -1be + ce = -1ce + ce Combine like terms: -1ce + ce = 0 -1600 + ab + -1ac + -1be + ce = 0 The solution to this equation could not be determined.
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