14e(6-x)+e(12x-7)=0

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Solution for 14e(6-x)+e(12x-7)=0 equation: 


Simplifying
14e(6 + -1x) + e(12x + -7) = 0
(6 * 14e + -1x * 14e) + e(12x + -7) = 0
(84e + -14ex) + e(12x + -7) = 0

Reorder the terms:
84e + -14ex + e(-7 + 12x) = 0
84e + -14ex + (-7 * e + 12x * e) = 0
84e + -14ex + (-7e + 12ex) = 0

Reorder the terms:
84e + -7e + -14ex + 12ex = 0

Combine like terms: 84e + -7e = 77e
77e + -14ex + 12ex = 0

Combine like terms: -14ex + 12ex = -2ex
77e + -2ex = 0

Solving
77e + -2ex = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'e'.
e(77 + -2x) = 0


Subproblem 1
Set the factor 'e' equal to zero and attempt to solve:

Simplifying
e = 0

Solving
e = 0

Move all terms containing e to the left, all other terms to the right.

Simplifying
e = 0

Subproblem 2
Set the factor '(77 + -2x)' equal to zero and attempt to solve:

Simplifying
77 + -2x = 0

Solving
77 + -2x = 0

Move all terms containing e to the left, all other terms to the right.

Add '-77' to each side of the equation.
77 + -77 + -2x = 0 + -77

Combine like terms: 77 + -77 = 0
0 + -2x = 0 + -77
-2x = 0 + -77

Combine like terms: 0 + -77 = -77
-2x = -77

Add '2x' to each side of the equation.
-2x + 2x = -77 + 2x

Combine like terms: -2x + 2x = 0
0 = -77 + 2x

Simplifying
0 = -77 + 2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
e = {0}

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