(18y^2-12xy)-(6y^2+xy-a)=

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Solution for (18y^2-12xy)-(6y^2+xy-a)= equation:


Simplifying
(18y2 + -12xy) + -1(6y2 + xy + -1a) = 0

Reorder the terms:
(-12xy + 18y2) + -1(6y2 + xy + -1a) = 0

Remove parenthesis around (-12xy + 18y2)
-12xy + 18y2 + -1(6y2 + xy + -1a) = 0

Reorder the terms:
-12xy + 18y2 + -1(-1a + xy + 6y2) = 0
-12xy + 18y2 + (-1a * -1 + xy * -1 + 6y2 * -1) = 0
-12xy + 18y2 + (1a + -1xy + -6y2) = 0

Reorder the terms:
1a + -12xy + -1xy + 18y2 + -6y2 = 0

Combine like terms: -12xy + -1xy = -13xy
1a + -13xy + 18y2 + -6y2 = 0

Combine like terms: 18y2 + -6y2 = 12y2
1a + -13xy + 12y2 = 0

Solving
1a + -13xy + 12y2 = 0

Solving for variable 'a'.

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

Add '13xy' to each side of the equation.
1a + -13xy + 13xy + 12y2 = 0 + 13xy

Combine like terms: -13xy + 13xy = 0
1a + 0 + 12y2 = 0 + 13xy
1a + 12y2 = 0 + 13xy
Remove the zero:
1a + 12y2 = 13xy

Add '-12y2' to each side of the equation.
1a + 12y2 + -12y2 = 13xy + -12y2

Combine like terms: 12y2 + -12y2 = 0
1a + 0 = 13xy + -12y2
1a = 13xy + -12y2

Divide each side by '1'.
a = 13xy + -12y2

Simplifying
a = 13xy + -12y2

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