(b-c)(a-e)=1600

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Solution for (b-c)(a-e)=1600 equation:


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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