2(w+3)(w-1)-(a+104)=0

Solution for 2(w+3)(w-1)-(a+104)=0 equation:

Simplifying
2(w + 3)(w + -1) + -1(a + 104) = 0

Reorder the terms:
2(3 + w)(w + -1) + -1(a + 104) = 0

Reorder the terms:
2(3 + w)(-1 + w) + -1(a + 104) = 0

Multiply (3 + w) * (-1 + w)
2(3(-1 + w) + w(-1 + w)) + -1(a + 104) = 0
2((-1 * 3 + w * 3) + w(-1 + w)) + -1(a + 104) = 0
2((-3 + 3w) + w(-1 + w)) + -1(a + 104) = 0
2(-3 + 3w + (-1 * w + w * w)) + -1(a + 104) = 0
2(-3 + 3w + (-1w + w2)) + -1(a + 104) = 0

Combine like terms: 3w + -1w = 2w
2(-3 + 2w + w2) + -1(a + 104) = 0
(-3 * 2 + 2w * 2 + w2 * 2) + -1(a + 104) = 0
(-6 + 4w + 2w2) + -1(a + 104) = 0

Reorder the terms:
-6 + 4w + 2w2 + -1(104 + a) = 0
-6 + 4w + 2w2 + (104 * -1 + a * -1) = 0
-6 + 4w + 2w2 + (-104 + -1a) = 0

Reorder the terms:
-6 + -104 + -1a + 4w + 2w2 = 0

Combine like terms: -6 + -104 = -110
-110 + -1a + 4w + 2w2 = 0

Solving
-110 + -1a + 4w + 2w2 = 0

Solving for variable 'a'.

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

Add '110' to each side of the equation.
-110 + -1a + 4w + 110 + 2w2 = 0 + 110

Reorder the terms:
-110 + 110 + -1a + 4w + 2w2 = 0 + 110

Combine like terms: -110 + 110 = 0
0 + -1a + 4w + 2w2 = 0 + 110
-1a + 4w + 2w2 = 0 + 110

Combine like terms: 0 + 110 = 110
-1a + 4w + 2w2 = 110

Add '-4w' to each side of the equation.
-1a + 4w + -4w + 2w2 = 110 + -4w

Combine like terms: 4w + -4w = 0
-1a + 0 + 2w2 = 110 + -4w
-1a + 2w2 = 110 + -4w

Add '-2w2' to each side of the equation.
-1a + 2w2 + -2w2 = 110 + -4w + -2w2

Combine like terms: 2w2 + -2w2 = 0
-1a + 0 = 110 + -4w + -2w2
-1a = 110 + -4w + -2w2

Divide each side by '-1'.
a = -110 + 4w + 2w2

Simplifying
a = -110 + 4w + 2w2